How can square roots be written so that the radicand has no square factors?

Answers

Answer 1

Answer:

You can do this by dividing the radicand by the square number , and multiplying the radical by the root of that number.

e.g.

[tex]\sqrt{96} \\= \sqrt{16 \times 6}\\= 4\sqrt{6}[/tex]


Related Questions

The radius of a parachute is shown below.
What is the diameter of the parachute? What is the circumference of the parachute?

Answers

Step-by-step explanation:

Diameter is 6 ft

3 ft + 3ft

Regina earns 45 points every time she shops on a certain website. She needs a total of 2,880 points to receive a free item. So far, she has earned 540 points. How many more times will Regina have to shop on the website in order to earn the additional points she needs for a free item?

A.
18
B.
38
C.
52
D.
64

Answers

The answer is c if u need me to explain I will

Answer:

C. 52

Step-by-step explanation:

You can simply subtract 540 from the total amount of points

2880-540=2340

and then you can divide that by the number of points she gets every time she shops on the website

2340÷45

Which would equal 52

So, C. 52 would be the correct answer.

Hope this helps!

help pls will give brainiest

Answers

Answer:

A= (3,3)

B= (4,1)

C= ( 1,0)

Step-by-step explanation:

Answer:

Step-by-step explanation:

A 2, -1

B 1, -3

C 4, -4

Hope this helps!

Thanks for Brainliest!

if (a+b)+(a-b)i=7+2 find a and b​

Answers

Answer:

a = 4.5

b = 2.5

Step-by-step explanation:

The question is incomplete.

Complete question

If (a+b)+(a-b)i=7+2i find a and b

Compare the terms on both sides

a+b = 7

a-b = 2

Add both equations

a+a = 7+2

2a = 9

a = 9/2

a = 4.5

Recall:.

a+b = 7

4.5+b = 7

b = 7-4.5

b = 2.5

HELP ......,,,,,...,,.....

Answers

Answer:

6. Not similar.

7. Not similar.

8. Not similar.

Step-by-step explanation:

6. Reduce all ratios to simplest form 16:20 = 4:5 ; 12:15 = 4:5 ; 20:26 = 10:13 not all of the sides follow the same ratio, so the triangles are not similar.  

7. None of the side lengths are shown. You can find the missing angles of the triangle however, only one of the angles is congruent to the other, so the triangles are not similar.

8. We know that 2 of the sides of each triangle are congruent, and the angle in between the sides are also congruent, which follows the SAS similarity conjecture. However, given that the sides are congruent, not similar in ratio, I can conclude that the triangles are congruent, not similar.

PS. It would mean the world to me if you could mark me brainliest!

Side note- I am not a professional, I just have done this a few months in the past! Best of luck!

Please help me with this question what’s 84 + 6 1/3

Answers

Answer:

90 1/3

Step-by-step explanation:

Answer: Mixed number form = 90 1/3

Decimal form = 90.3 with a repation bar

Actual Form = 271 / 3

Step-by-step explanation:

4+ 3/6 + 2/6! It’s zearn!!

Answers

Answer:

=29/6

Step-by-step explanation:

4+3/6+2/6

=4+1/2+2/6

=9/2+2/6

=9/2+1/3

=29/6

Answer:

4 5/6 = 29/6 = 4.833333333

Step-by-step explanation:

4+3/6+2/6

Reduce the fraction 3/6 to lowest terms by extracting and canceling out 3.

4+1/2+2/6

Convert 4 to fraction 8/2

8/2+1/2+2/6

Since 8/2 and 1/2 have the same denominator, add them by adding their numerators.

8+1 / 2 + 2/6

Add 8 and 1 to get 9.

9/2 + 2/6

Reduce the fraction 2/6 to lowest terms by extracting and canceling out 2.

9/2 + 1/3

Least common multiple of 2 and 3 is 6. Convert 9/2 and 1/3 to fractions with denominator 6.

27/6 + 2/6

Since 27/6 and 2/6 have the same denominator, add them by adding their numerators.

27+2 / 6

Add 27 and 2 to get 29.

29/6  

Monu
Exploring Decimals
What is this number in standard form?
(7 x 100) + (4 x 100 ) + (8 x
1,000)
Enter your answer in the box.

Answers

Answer:

Step-by-step explanation:

700+400+8000

9100

Answer: 9,100

Step-by-step explanation:

[tex](8*1,000)+(4*100)+(7*100)=\\8,000+400+700=\\8,400+700=\\9,100[/tex]

Please help me!!!!
Eight students share 12 mini oatmeal muffins equally and 6 students share 27 mini apple muffins equally.
Carmine is in both groups of students.
What is the total number of mini muffins Carmine gets?
Carmine gets
muffins.

Answers

Step-by-step explanation:

oatmeal 12/8 = 1.5 per student

apple 27/6 = 4.5 per student

carmine gets 1.5 + 4.5 = 6 muffins

Answer:

Step-by-step explanation:

(12 oatmeal)/(8 students) = (1.5 oatmeal)/student

Each student gets 1.5 oatmeal muffins.

(27 apple)/(6 students) = (4.5 apple)/student

Each student gets 4.5 apple muffins.

Carmine gets 1.5 oatmeal plus 4.5 apple = 6 muffins

15% of the students in the library have brown eyes. If there are 9 students with brown eyes, How many students are in the library

Answers

Answer:

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

ENGLISH

If you Multiply 9x100 you get 900 then you divide 15 divided by 900 is 60

SPANISH

Si multiplica 9x100 obtiene 900, entonces divide 15 dividido por 900 es 60

Hope this will help you

T-shirts are on sale for 40% off. The original price per t-shirt is $20. What is the total cost, in dollars, of 8 of these t-shirts at the sale price, including an 11% sales tax?

Answers

Answer:

$106.56

Step-by-step explanation:

discounted price of each shirt is $12

12 x 8 = $96 for 8 shirt

96 x 1.11 = $106.56

ILL MARK U BRAINLEST Find the circumference of the circle. Use 3.14 for 1. Round to the nearest hundredth, if necessary.
is
9 in.
The circumference of the circle is about
inches.
1

Answers

Answer:

The answer is either 56.55in or 28.27

Step-by-step explanation:

This is the formula that I used

C=2πr

Circumference = 2·π·4.5 ≈ 28.27433 or

Circumference = 2·π·9 ≈ 56.54867

The answer can be either one. It depends on if 9 is the radius or the diameter of this circle. If 9 is the radius, then the answer would be 56.55in. If the radius isn't 9 but 9 is the diameter, then your radius would be 4.5 and the answer would be 28.27in.

Hope that helps :)

The circumference of the circle will be 56.52 inches.


What is a circumference?

The circumference of a circle can be found using the formula:

Circumference = 2πr

Where r is the radius of the circle, and π (pi) is a mathematical constant approximately equal to 3.14159.

If the radius of the circle is 9 inches, then we can substitute this value into the formula to find the circumference:

Circumference = 2π(9 inches)

Circumference = 18π inches

We can leave the answer in terms of π or approximate it using a decimal approximation for π. Using the value of π rounded to 3.14, we have:

Circumference ≈ 56.52 inches

Therefore, the circumference of a circle with a radius of 9 inches is approximately 56.52 inches or exactly 18π inches.

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the water supplied by a pump fills a drum of 200 liters in 20 seconds. what is the flow rate of this pump​

Answers

Step-by-step explanation:

Water filled in 20 second = 200 liters

Water filled in 1 second = 200 / 20 = 10 liters

The flow rate of the pump is 10 liters per second.

Hope it will help :)

Based on the water the pump supplies in 20 seconds, we can find that the flow rate of the pump is 10 liters per second.

The flow rate is essentially the amount of water the pump supplies per unit amount of time which in this case is seconds.

It can be calculated as:

= Amount of water supplied / Time supplied

= 200 / 20

= 10 liters per second

In conclusion, the pump has a flow rate of 10 liters per second.

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I need help with this question

Answers

Answer:

j-10=35

j is 45

Step-by-step explanation:

35+10=45

(5 pts) It takes Jack 3 hours longer to write holiday cards than it takes Jill. Together, they can write them
in 2 hours. How long does it take each person to write the cards working alone?​

Answers

Answer:

Jack needs 6 hours and Jill needs 3 hours.

Step-by-step explanation:

Let's define the variables:

X  = rate at which Jack can write a holiday card.

Y = rate at which Jill can write a holiday card.

Each of them will need a given time to write a card, such that:

X*T = 1 card

We know that Jack needs 3 more hours to write a card than Jill, then Jill needs 3 hours less than Jack, so if Jack needs T hours, Jill will need T - 3 hours

Then we have the equation:

Y*(T - 3 hr) = 1 card

And we also know that when they work together, they need 2 hours, then:

(X + Y)*2 hr = 1 card.

So we have 3 equations:

X*T = 1 card

Y*(T - 3 hr) = 1 card

(X + Y)*2 hr = 1 card.

Now let's ignore the card part just for the equations, then we get:

X*T = 1

Y*(T - 3 hr) = 1

(X + Y)*2 hr = 1

To solve it, we first need to isolate one variable in one of the equations, let's isolate T in the first equation, we get:

T = 1/X

Now we can replace this in the second equation to get:

Y*((1/X) - 3hr) = 1

So now we have two equations:

(X + Y)*2 hr = 1

Y*((1/X) - 3hr) = 1

We need to do the same, isolate one variable in one of the equations, let's isolate Y in the above one:

Y*2hr = 1 - X*2hr

Y = (1 - X*2hr)/2hr

Now we can replace this in the other equation to get:

((1 - X)/2hr)*((1/X) - 3hr) = 1

Now we can solve this for X:

((1 - X)/2hr)*((1/X) - 3hr) = 1

(1 - X)*((1/X) - 3hr) = 2 hr

1/X - 3hr - X*2hr/X + X*2hr*3hr = 2hr

1/X - 3hr - 2hr + X*6hr^2 = 2hr

1/X + X*6hr^2 = 2hr + 3 hr + 2 hr = 7hr

1/X + X*6hr^2 = 7hr

Now we can multiply all by X to get:

X/X + X*(X*6hr^2) = 7hr*X

Now we have the quadratic equation:

(6hr^2)*X^2 - (7hr)*X + 1 = 0

We can find the solutions of this equation if we use the Bhaskara's formula, the solutions are:

[tex]X = \frac{-(-7hr) +- \sqrt{(-7hr)^2 - 4*(6hr^2)*1} }{2*6hr^2} = \frac{7hr +- 5hr}{12 hr^2}[/tex]

Then we have two solutions:

X = (7hr + 5hr)/12hr = 1 hr^-1

And this is the rate at which Jack writes a card, so the actual units are:

X =  0.167 card/hr

Then Jill's rate will be:

Y = (1 - X*2hr)/2hr = (1 - 1card/hr*2hr)/2hr = -0.5 card/hr

So we have a negative rate, this makes no sense, so we can discard this option. The other solution for X is:

X = (7hr - 5hr)/12hr = 0.166... hr^-1

And this is the rate at which Jack writes a card, so the actual units are:

X =  0.166... card/hr

If we have this, then the rate for Jill will be:

Y = Y = (1 - X*2hr)/2hr = (1 - 0.167card/hr*2hr)/2hr = 0.333 card/hr

Then we have:

X = 0.167 card/hr

If we use the first equation, we get:

(0.166... card/hr)*T = 1 card

T = 1 card/((0.166... card/hr)) =  6 hours

Then Jack needs 6 hours to write a card.

And we know that Jill needs 3 hours less than that, then Jill needs 3 hours.

PLS HELP ASAP GIVING 35 POINTS... If a rock has a mass of 1.5 - g / mL and displaces 5-mI. of water, what is the mass of the rock?

Answers

The answer is 4.5 grams(:

Sandy spent 20% of x hours at her part-time job.What is x if 20% of x is about 26 hours?

Answers

26 divided by .20 therefore x is 130

A computer laboratory manager was in charge of purchasing new battery packs for her lab of laptop computers. She narrowed her choices to two models that were available for her machines. Since the models cost about the same, she was interested in determining whether there was a difference in the average time the battery packs would function before needing to be recharged. She took two independent samples and computed the following summary information: Battery Pack Model 1 Battery Pack Model 2Sample Size 9 9Sample Mean 5 hours 5.5 hoursStandard Deviation 1.5 hours 1.3 hoursUsing the null and alternate hypothesis:H0:mu1-mu2=0 vs. Ha: mu1-mu2 not equal 0Calculate the test statistic for this test.

Answers

Answer:

-0.756

Step-by-step explanation:

N1 = 9

N2 = 9

Sd1 = 1.5 hours

Sd2 = 1.3 hours

X1 = 5 hours

X2 = 5.5 hours

Hypothesis

H0: mu1 - mu2 = 0

H1 : mu1 - mu2 not equal to 0

Test statistic

t = (x1 - x2)/SE

SE is the standard error, which is unknown

SE = √sd1²/n1 + sd2²/n2

= √1.5²/9 + 1.3²/9

= √0.25+0.1878

= √0.4378

= 0.66166

t statistics = (5-5.5)/0.66166

= -0.5/0.66166

= -0.756

if 3/4 of a certain number is equal to 4 1/2, find the number

Answers

Answer:

6

Step-by-step explanation:

3/4x = 9/2

4/3 * 9/2 = 36/6

6

The number in the mathematical statement is 6

How to determine the number?

Let the number be x.

So, the equation can be represented as:

3/4 * x = 4 1/2

Express the fraction as an improper fraction

3/4 * x = 9/2

Multiply through by 4/3

x = 6

Hence, the number is 6

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12 more than the square of a number is the same as 7 times the number.

Answers

Answer: Sorry I don't know

Step-by-step explanation:

how much principal must be deposited to earn $1000 simple interest in 2 years at a rate of 5%

Answers

Answer:

1100                                                                 brainliest please

Step-by-step explanation:

1000×2×0.05=100

1000+100=110

Lizette earns $10 in gas money for driving to babysit and then earns $8 for each hour she
babysits the kids. How much money will she make for 5 hours of babysitting?

Answers

Answer:

$30

Step-by-step explanation:

8 x 5 = 40

40 - 10 = 30

How many times greater is the area of Circle 1 than the area of Circle 2?If circle ones radius is 9 and circle twos radius is 3

Answers

It is 9 fr 100% pls trust me

The area of the circle {1} is 9 times greater than circle {2}.

What is Area?

Area is a collection of two - dimensional points enclosed by a single dimensional line. Mathematically, we can write -

V = ∫∫F(x, y) dx dy

Given is to find how many times greater is the area of circle 1 than the area of circle 2 if circle ones radius is 9 and circle twos radius is 3.

We can write the areas of both the circles as -

A{Ο} = πR²

A{Ο1} = π x 9 x 9

A{Ο2} = π x 3 x 3

We can write -

A{Ο1} / A{Ο2} = {π x 9 x 9} / {π x 3 x 3}

A{Ο1} / A{Ο2} = 9

A{Ο1} = 9A{Ο2}

Therefore, the area of the circle {1} is 9 times greater than circle {2}.

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Terrell brought $5.00 to spend at the rink's concession stand. Hot dogs cost $0.65, French fries cost $0.80, nachos cost $1.25, and drinks cost $0.95. If Terrell buys French fries and a drink, what is the maximum number of hot dogs he can purchase?

Answers

Answer:

5 hotdogs

Step-by-step explanation:

Deduct the price of French fries + drink from the total amount of money he has.

5.00 - 0.80 - 0.95 = 3.25

Divide the amount of money left with the amount of money each hotdog cost.

3.25 ÷ 0.65 = 5

what is 3333 x 33 x 23 - 908

Answers

Answer:

2528839

Step-by-step explanation:

your welcome

I can’t tell if you are joking with this question or not but the answer is 2528839.

does anybody know what to do here?

Answers

Answer:

m=6

Step-by-step explanation:

38+8m+4=90

42+8m=90

8m=90-42

8m=48

m=6

A Mater Exam
Q2 SA 1
4 Points
What is the slope of a line that is perpendicular to the line f(x) = 2x + 6? Justify your answer
by typing out your calculations or explaining your reasoning.
Enter your answer here
Please select file(s)
Select file(s)

Answers

Answer:

The slope of the perpendicular line to the line is

m   = [tex]\frac{-1}{2}[/tex]

Step-by-step explanation:

Step(i):-

Given that the line y =f(x) = 2x +6

                           ⇒  y = 2x +6

 comparing             y =mx +c

The slope of the given line   m =2

Step(ii):-

The slope of the perpendicular line   = [tex]\frac{-1}{m}[/tex]

The slope of the perpendicular line   = [tex]\frac{-1}{2}[/tex]

Help me plsssssssssssssssssssssss

Answers

estimated difference: 83
actual difference: 81.91

4.- Un vehículo ha tardado 23 minutos en recorrer 86 Km. Si suponemos que no cambió de
velocidad en el trayecto, ¿qué velocidad llevaba cada segundo?
5.- Hemos dado la vuelta a un circuito en 34 segundos, llevando una velocidad constante de 13​

Answers

Answer:

I speak English.

Step-by-step explanation:

I  am from America.

help math eeekkkkkkk

Answers

Answer:

Step-by-step explanation:

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