Question

simplest rationalising factor of cube route of 500

Answer 1

Hi ,

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

is 2^1/3

( 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.

: )

Answer 2

Hi,

Please see the attached file!



Thanks