Property:
For any two integers a and $b, \sqrt[2]{a b}=\sqrt[3]{a} \times \sqrt[3]{b}$,
From the above property, we have:
$125 \sqrt[3]{a^6}-\sqrt[3]{125 a^6}$
$=125 \sqrt[3]{a^6}\left(\sqrt[3]{125} \times \sqrt[3]{a^6}\right)$
$=125 \times a^2-\left(5 \times a^2\right)$
$\left(\because \sqrt[3]{a \times a \times a\} \times\{a \times a \times a\}}=a \times a=a^2 and \sqrt[3]{125}=\sqrt{5 \times 5 \times 5}=5\right)$
$=125 a^2-5 a^2$
$=120 a^2$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.