Question

What will be the answer
$\sqrt[3]{2} \times \sqrt[4]{2} \: \times \sqrt[12]{32}$
please tell me​

Answer 1

Answer:

$\sqrt[3]{2} \times \sqrt[4]{2} \times \sqrt[12]{ {2}^{5} } \\ {2}^{ \frac{1}{3} } \times {2}^{ \frac{1}{4} } \times {2}^{ \frac{5}{12} } \\ = {2}^{ \frac{1}{3} + \frac{1}{4} + \frac{5}{12} } \\ = {2}^{ \frac{4 + 3 + 5}{12} } \\ = {2}^{ \frac{12}{12} } \\ = {2}^{1} \\ = 2$