find the simplest rationalisation factor of

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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.
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