Question

what is the simplest rationalizing factor of 2√363​

Answer 1

Step-by-step explanation:

2√363

= 2√3*11*11

= 22√3

Rationalizing factor = √3

Answer 2

√3 is simplest rationalizing factor of 2√363​ is

Given : 2√363​

To Find : simplest 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.

given number is :

2√363​

363​ = 3 * 11 * 11

= 2√(3 * 11 * 11)

= 2 * 11 * √3

= 22 * √3

Hence simplest rationalizing factor is √3

as 22 * √3 * √3  = 66  

simplest rationalizing factor of 2√363​ is √3

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