How do you simplify $\sqrt{1176}$ $sqrt(1176)$ ?

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How do you simplify $\sqrt{1176}$ $sqrt(1176)$ ?

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Answer 1 · 2016-02-13T08:33:25

$1176 = 14 \sqrt{6}$ $1176 = 14sqrt6$

Explanation:

Start by writing the prime factorization of $1176$ $1176$ .

$1176 = 2^{3} \times 3 \times 7^{2}$ $1176 = 2^3xx3xx7^2$

Then take the square root

$\sqrt{1176} = \sqrt{2^{3}} \times \sqrt{3} \times \sqrt{7^{2}}$ $sqrt1176 = sqrt(2^3)xxsqrt3xxsqrt(7^2)$

$= {\sqrt{2}}^{3} \times \sqrt{3} \times 7$ $= sqrt2^3xxsqrt3xx7$

$= 2 \sqrt{2} \times \sqrt{3} \times 7$ $= 2sqrt2xxsqrt3xx7$

$= (2 \times 7) \times \sqrt{2 \times 3}$ $= (2xx7)xxsqrt(2xx3)$

$= 14 \sqrt{6}$ $= 14sqrt6$

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How do you simplify $\sqrt{1176}$ $sqrt(1176)$ ?

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