Question

If a1/n is the irrational number then its rationalising factor is. ¼½½ (a) a1-1/n (b) a-1/n (c) a1/n-1​

Answer 1

Given : a^(1/n) is an irrational number

To Find : rationalizing factor

Solution:

rationalizing factor :

The factor of multiplication by which an irrational number is multiplied to convert it into rational number

If the product of two irrational numbers or surds is a rational number, then each surd is a rationalizing factor for each other.

To convert  in rational number lets multiply with x ( rationalizing factor )

Hence :

using xᵃ/xᵇ = xᵃ⁻ᵇ

Hence  is the rationalizing factor

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