How do you simplify 36/sqrt15?

2 Answers
Shwetank Mauria
Jul 4, 2017

36/sqrt15=(12sqrt15)/5

Explanation:

36/sqrt15

= 36/sqrt15xxsqrt15/sqrt15

= (36xxsqrt15)/(sqrt15xxsqrt15)

= (36xxsqrt15)/15

= (cancel36^12xxsqrt15)/(cancel15^5)

= (12sqrt15)/5

John D.
Jul 4, 2017

(12sqrt15)/5

Explanation:

To simplify a fraction with a radical, we want to make sure that there is no radical on the bottom. In order to do this, we can multiply the fraction by sqrt15/sqrt15"

36/sqrt15 * sqrt15/sqrt15

= (36 * sqrt15) / (sqrt15 * sqrt15)

= (36sqrt15)/15

We have one last step to simplify this expression. Notice that the top and bottom both share a factor of 3 now. So, we need to divide both the top and bottom by 3:

(36sqrt15)/15 div 3/3

= (36sqrt15 div 3)/(15div3)

= (12sqrt15)/5

Final Answer

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