Question

Find sum of the following surds:
$5\sqrt[3]{3p},3\sqrt[3]{3p},2\sqrt[3]{3p}$.

Answer 1

The sum of the given surds can be determined as follows:

$5\sqrt[3]{3p}+3\sqrt[3]{3p}+2\sqrt[3]{3p}=\sqrt[3]{3p}(5+3+2)=10\sqrt[3]{3p}$

Hence, $5\sqrt[3]{3p}+3\sqrt[3]{3p}+2\sqrt[3]{3p}=10\sqrt[3]{3p}$.