[tex]\sqrt{(-81)x^{2} }[/tex]

Answers

Answer 1

Answer:

We conclude that:

[tex]\sqrt{\left(-81\right)x^2}=9ix[/tex]

Step-by-step explanation:

Given the radical expression

[tex]\sqrt{\left(-81\right)x^2}[/tex]

simplifying the expression

[tex]\sqrt{\left(-81\right)x^2}[/tex]

Remove parentheses:  (-a) = -a

[tex]\sqrt{\left(-81\right)x^2}=\sqrt{-81x^2}[/tex]

Apply radical rule:   [tex]\sqrt{-a}=\sqrt{-1}\sqrt{a},\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]

                 [tex]=\sqrt{-1}\sqrt{81x^2}[/tex]

Apply imaginary number rule:  [tex]\sqrt{-1}=i[/tex]

                 [tex]=i\sqrt{81x^2}[/tex]

Apply radical rule:   [tex]\sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b},\:\quad \mathrm{\:assuming\:}a\ge 0,\:b\ge 0[/tex]

                  [tex]=\sqrt{81}i\sqrt{x^2}[/tex]

                  [tex]=9i\sqrt{x^2}[/tex]

Apply radical rule:  [tex]\sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]

                  [tex]=9ix[/tex]

Therefore, we conclude that:

[tex]\sqrt{\left(-81\right)x^2}=9ix[/tex]


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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Answers

Answer:

is it 49

Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answers

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Answers

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Step-by-step explanation:

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Substituting into y = mx + b gives

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Answer:

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Step-by-step explanation:

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Answer:

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Answer:

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Answers

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Answers

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answer:

x=3/4

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Step-by-step explanation:

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Answers

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