Question

rationalizing factor of cube root of 500

Answer 1

Cube root of 500

= cube root of (5 x 5 x 5 x 2 x 2)

= 5 x cube root of (2 x 2)

Hence to rationalize cube root of 500, we require another cube root of 2 i.e., 2 ^1/3.

Hence the simplest rationalising factor of cube root of 500 is cube root of 2.