Question

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

Answer 1

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

Answer 2

`\sqrt[5]{32} * 2 \sqrt[3]{81} \\ = {32}^{ (1)/(5) } * 2 {(81)}^{ (1)/(3) } \\ = ({{2}^(5)})^{ (1)/(5) } * {2({3}^(3))}^{ (1)/(3) } \\ = {2}^(1) * 2({3}^(1)) \\ = 2 * 2 * 3 \\ = 4 * 3 \\ = 12`

This is the answer.

Hope it helps!!