Which of the following is simplest rationalizing factor of 2√363 *
Answers
Answer:
22 root 3
Step-by-step explanation:
√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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