Задание 21, стр 23

Question

Упростите выражение.
ewline
$$	ext{a) $\sqrt{49 x^{6}}, x>0\quad$
b) $\sqrt{36 x^{6}}, x<0\quad$
c) $\sqrt{0,01 y^{8}}\quad$
d) $\sqrt{25 x^{4}}$}$$

Gimli · Accepted Answer

\begin{enumerate}[label=(alph*)]
\item $$\sqrt{49x^6} = \sqrt{(7x^3)^2} = |7x^3| = 7x^3 	ext{ (так как $x>0.$)}$$
\item $$\sqrt{36x^6} = \sqrt{(6x^3)^2} = |6x^3| = 6x^3 	ext{ (так как $x>0.$)}$$
\item $$\sqrt{0.01y^8} = \sqrt{(0.1y^4)^2} = |0.1y^4|.$$
\item $$\sqrt{25x^4} = \sqrt{(5x^2)^2} = |5x^2|.$$
\end{enumerate}

Задание 21, стр 23

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Задание 21, стр 23

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