How do you simplify $sqrt(1176)$ ?

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Answer 1 · 2016-02-13T08:33:25

$1176 = 14sqrt6$

Start by writing the prime factorization of $1176$ .

$1176 = 2^3xx3xx7^2$

Then take the square root

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

$= sqrt2^3xxsqrt3xx7$

$= 2sqrt2xxsqrt3xx7$

$= (2xx7)xxsqrt(2xx3)$

$= 14sqrt6$

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