How do you simplify #sqrt(1176)#?

1 Answer
Feb 13, 2016

Answer:

#1176 = 14sqrt6#

Explanation:

Start by writing the prime factorization of #1176#.

#1176 = 2^3xx3xx7^2#

Then take the square root

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

#= sqrt2^3xxsqrt3xx7#

#= 2sqrt2xxsqrt3xx7#

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

#= 14sqrt6#