Question

сравните значение выражений
$frac{2}{3} sqrt{72}$
и
$7 sqrt{ frac{2}{3} }$

Answer 1

$frac{2}{3} sqrt{72} = sqrt{ frac{72*4}{9} } = sqrt{32} \ 7 sqrt{ frac{2}{3} } = sqrt{ frac{2*49}{3} } = sqrt{32 frac{2}{3} } \ frac{2}{3} sqrt{72} textless 7 sqrt{ frac{2}{3} }$