Question

What is the following quotient? ^3 square root 60 over ^3 square root of 20

Answer 1

the answer is the first one

Answer 2

Answer:

The Given Expression is

$\frac{60^{\frac{1}{3}}}{20^{\frac{1}{3}}}\\\\=\frac{(2*2*3*5)^{\frac{1}{3}}}{(2*2*5)^{\frac{1}{3}}}\\\\={\text{Cancelling 2*2*5 from numerator and denominator}}\\\\=3^{\frac{1}{3}}$

Factor of 60 and 20 are

60=2*2*3*5

20=2*2*5

Option A: $3^{\frac{1}{3}}$