How to find the rationalising factor of any irrational and rational number ?

Note : Not rationalising denominator but I want ratinalising factor

eg : 3√5

4√5

3√3

3√5

Prime factorization of 125 = 5 × 5 × 5

So, 3√125 = 3√5 × 5 × 5 = 5

Now, 3√5 × 3√25 = 3√5 × 25 = 3√125 = 5

Thus, when 3√5  is multiplied by 3√25, we obtain the rational number 5.

Therefore, the rationalizing factor of 3√5 is 3√25.

 

You can  find the rationalizing factor of  4√5  and 3√3 using above explained answer. 

 

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