Question

what is the rationalising factor of cube root 500 500​

Answer 1

Answer:

2^1/3 or cubeth root of 2

Step-by-step explanation:

Steps:

1. Find the Cubeth root of 500

= ( 500 )^1/3

= ( 5³ × 2² )^1/3

= 5^3/3 × 2^2/3

= 5 × 2^2/3

Now , Rationalizing factor of ( 500 )^1/3

= ( 500 )^1/3 × 2^1/3

= 5 × 2^2/3 × 2^1/3

= 5 × 2^2/3+1/3

= 5 × 2

= 10 ( Rational number )

Required rationalizing factor is

2^1/3 or cubeth root of 2

I hope this helps you. :)