Question

scoateți factorul de sub radical
$a)5 \sqrt \frac{1}{125}$
$b) \frac{1}{8} \sqrt{96}$
$c) \frac{1}{7} \sqrt{147}$

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Answer 1

$5\sqrt{\frac{1}{125} }=\sqrt{\frac{25}{125} }=\sqrt{\frac{1}{5} }=\frac{1}{\sqrt{5}}\\\\\\\frac{1}{8}\sqrt{96}=\sqrt{\frac{96}{64}}=\sqrt{\frac{3}{2}}\\\\\\\frac{1}{7}\sqrt{147}=\sqrt{\frac{147}{49}}=\sqrt3$