Question

Please simplify this one. I need answers fast as possible .(chapter name : surds )​

Answer 1

$\sqrt[5]{32} \times 2 \sqrt[3]{81} \\ = {32}^{ \frac{1}{5} } \times 2 {(81)}^{ \frac{1}{3} } \\ = ({{2}^{5}})^{ \frac{1}{5} } \times {2({3}^{3})}^{ \frac{1}{3} } \\ = {2}^{1} \times 2({3}^{1}) \\ = 2 \times 2 \times 3 \\ = 4 \times 3 \\ = 12$

This is the answer.

Hope it helps!!

Answer 2

5xsr(32) x 2xcr(81)
= 5xsr(4x4x2) x 2xcr(3x3x3x3)
= 5 x 4 x (2)^1/2 x 2 x 3 x (3)^1/3
= 5 x 4 x 2 x 3 x (2^3)^1/6 x (3^2)^1/6
= 120 x (8)^1/6 x (9)^1/6
= 120 x (72)^1/6