# How do you simplify #sqrt(1176)#?

##### 1 Answer

Feb 13, 2016

#### Explanation:

Start by writing the prime factorization of

#1176 = 2^3xx3xx7^2#

Then take the square root

#sqrt1176 = sqrt(2^3)xxsqrt3xxsqrt(7^2)#

#= sqrt2^3xxsqrt3xx7#

#= 2sqrt2xxsqrt3xx7#

#= (2xx7)xxsqrt(2xx3)#

#= 14sqrt6#