Сравните: а) 1/2√28 и 1/3√54 б) 7√1/7 и 1/2√20. Created by Jame3. algebra-ru

2√20...

Ellenochka А) $\frac{1}{2} \sqrt{28} \ \textgreater \ \frac{1}{3} \sqrt{54}$

б) $7 \sqrt{ \frac{1}{7} } \ \textgreater \ \frac{1}{2} \sqrt{20}$

2 votes Thanks 1

mayli А) $\frac{1}{2} \sqrt{28}= \sqrt{ \frac{1}{4}*28 } = \sqrt{7}$

$\frac{1}{3} \sqrt{54} = \sqrt{ \frac{1}{9}*54 }= \sqrt{6}$

$\sqrt{7}\ \textgreater \ \sqrt{6}$ , следовательно $\frac{1}{2} \sqrt{28}\ \textgreater \ \frac{1}{3} \sqrt{54}$

б) $7 \sqrt{ \frac{1}{7} } = \sqrt{49* \frac{1}{7} } = \sqrt{7}$

$\frac{1}{2} \sqrt{20}= \sqrt{ \frac{1}{4} *20} = \sqrt{5}$

$\sqrt{7} \ \textgreater \ \sqrt{5}$ , следовательно $7 \sqrt{ \frac{1}{7} } \ \textgreater \ \frac{1}{2} \sqrt{20}$

5 votes Thanks 4

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