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#
