Задание 5, стр 24

Question

Сравните числа.
$$a)3\sqrt{2}, 2\sqrt{3}\quad b)2\sqrt{5}, 5\sqrt{2}\quad c)5\sqrt{2}, 4\sqrt{3}$$

Gimli · Accepted Answer

$$
\begin{aligned}
	ext { a) } &3 \sqrt{2} \ \square \ 2 \sqrt{3}\
&\sqrt{9 \cdot 2} \ \square \ \sqrt{4 \cdot 3}\quad \
&\sqrt{18}>\sqrt{12} .
\end{aligned}\
$$
$$
\begin{aligned}
	ext { b) } &2 \sqrt{5} \ \square \ 5 \sqrt{2} \
&\sqrt{4 \cdot 5} \ \square \ \sqrt{25 \cdot 2} \quad\
&\sqrt{20} < \sqrt{50}
\end{aligned}
$$
$$
\begin{aligned}
	ext { c) } &5 \sqrt{2} \ \square  \ 4 \sqrt{3} \
&\sqrt{25 \cdot 2} \ \square \ \sqrt{46 \cdot 3}\quad \
&\sqrt{50}  > \sqrt{48}
\end{aligned}
$$

Задание 5, стр 24

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Задание 5, стр 24

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