Question

Evaluate
$\sqrt[3]{147 \: } \times \: \sqrt[3]{63}$
​

Answer 1

$\sqrt[3]{147} + \sqrt[3]{63} \\ \\ \sqrt[3]{3 \times {7}^{2} } + \sqrt[3]{ {3}^{2} \times 7 } \\ \\ = ( \sqrt[3]{7 \times 3}) ( \sqrt[3]{7} + \sqrt[3]{3} ) \\ \\ = \sqrt[3]{21} ( \sqrt[3]{7} + \sqrt[3]{3} ) \\ \\ = 2.75(1.91 + 1.44) \\ \\ = 2.75 \times 3.35 \\ \\ = 9.2125$

hope it helps