Задание 18, стр 23

Question

Вычислите.
ewline
a) $\sqrt{(-3)^{6}}\quad$
b) $\sqrt{(-6)^{4}}\quad$
c) $\sqrt{3^{6} \cdot(-5)^{2}}\quad$
d) $\sqrt{(-8)^{2} \cdot 3^{4}}$

Gimli · Accepted Answer

\begin{enumerate}[label=(alph*)]
\item $\qquad\sqrt{(-3)^{6}}=\sqrt{\left((-3)^{3}\right)^{2}}=(-3)^{3}=-27$
\item $\qquad\sqrt{(-6)^{4}}=\sqrt{\left((-6)^{2}\right)^{2}}=(-6)^{2}=36$.
\item $\qquad\sqrt{3^{6}\cdot(-5)^{2}}=\sqrt{\left(3^{3}\right)^{2} \cdot(-5)^{2}}=\sqrt{\left(3^{3}\cdot(-5)\right)^{2}}=\sqrt{(-27 \cdot 5)^{2}}=|-27.5|=135.$
\item $\qquad \sqrt{(-8)^{2} \cdot 3^{4}}=\sqrt{(-8)^{2}\left(3^{2}\right)^{2}}=\sqrt{\left(-8 \cdot 3^{2}\right)^{2}}=\sqrt{(-72)^{2}}=|-72|=72$
\end{enumerate}

Задание 18, стр 23

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Задание 18, стр 23

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