Square root of 1176. 1176 14sqrt6 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.