Question

qual é a raiz quadrada de 3 elevado -2??

Answer 1

Olá!
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Resolução,

$(\sqrt{3})-^2$

$(\sqrt{1/3})^2$

$= 1/3$

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Abraços!

Answer 2

$\large\textsf{Vamos L\'a:}$

$\boxed{\large\textbf{POTENCIA\c{C}\~AO}}$

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$( \sqrt{3})^{-2}$

$\dfrac{1}{ (\sqrt{3})^{2} }$

O "2" do índice, cancela com o "2" da potenciação, ficando:

$= \boxed{\dfrac{1}{3}}$
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$\large\textsf{Prova Real:}$

$( \sqrt{3})^{(-2)}} = x \\\\ (( \sqrt{3})^{(-2)^{(-1)}} = x^{(-1)} \\\\ (\sqrt{3})^{2} = x^{(-1)} \\\\ 3 = x^{-1} \\\\ 3 = \dfrac{1}{x} \\\\ 3x = 1 \\\\ \boxed{x =\dfrac{1}{3}}$
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Ou
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$( \sqrt{3})^{-2} = 1/3 \\\\ (( \sqrt{3})^{(-2)^{(-1)}} = (1/3)^{-1} \\\\ ( \sqrt{3})^{2} = 3 \\\\ \boxed{3 = 3}$
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Bons Estudos ^^