write the simplest form of rationalising factor for the given surds 3 root 72
Answers
Answer:
Answer: ∴ √2 is the simplest form of the rationalizing factor of 3√72.
Step-by-step explanation:
Write the simplest form of rationalizing factor for the given surds. i. √32 ii. √50 iii. √27 iv. (3/5)√10 v. 3√72 vi. 4√11Read more on Sarthaks.com - https://www.sarthaks.com/846600/write-the-simplest-form-rationalizing-factor-for-the-given-surds-50-iii-27-10-372-411
Given : 3√72
To Find : simplest form of 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.
3√72
72 = 2 * 2 * 2 * 3 * 3
=> 72 = 2² * 3² * 2
=> 72 = (2 * 3)² * 2
=> 72 = 6² * 2
=> √72 = 6 √2
3√72
= 3 * 6 √2
= 18 √2
simplest form of rationalizing factor is √2
as 18 √2 * √2 = 36
3√72 * √2 = 36
rationalizing factor is √2
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