Question

Which of the following is equal to the expression below?

(625x48)^1\4

Answer 1

Explanation:

Factorize 625 & 48

625 = 25 * 25 = 5 * 5 * 5 * 5 = 5⁴

48 = 16 * 3 = 2 * 2 * 2 * 2 *3 = 2⁴ * 3

`\sqrt[4]{625*48} = \sqrt[4]{5^(4) * 2^(4) * 3}=5*2\sqrt[4]{3}` =
`10\sqrt[4]{3}`