How do you simplify sqrt3 div(sqrt12 - sqrt5)?

1 Answer
May 15, 2018

(sqrt3)/(2sqrt3-sqrt5)

Explanation:

First, we find the factors of sqrt12 and simplify it further.

sqrt12 = sqrt(4 xx 3 = sqrt4xxsqrt3 = 2xxsqrt3

(sqrt3)/(sqrt12 - sqrt5) ----->we know that sqrt12 is 2xxsqrt3 and substitute that for sqrt12 as shown below:

(sqrt3)/(2xxsqrt3 -sqrt5) = (sqrt3)/(2sqrt3-sqrt5)