Question

Simplify :
$4\sqrt{28}+3\sqrt{7}$.

Answer 1

$(28{)}^{1/4}+(7{)}^{1/3}=(7\times 4{)}^{1/4}+7^{1/3}=7^{1/4}\cdot \sqrt{2}+7^{1/3}$

$=7^{1/4}(2^{1/2}+7^{-1/12})$.