How do you simplify $\sqrt{12} \times \sqrt{6}$ $sqrt12 times sqrt 6$ ?

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How do you simplify $\sqrt{12} \times \sqrt{6}$ $sqrt12 times sqrt 6$ ?

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Answer 1 · 2016-03-04T04:23:08

$6 \sqrt{2}$ $6sqrt2$

Explanation:

To simplify $\sqrt{12} \times \sqrt{6}$ $sqrt12xxsqrt6$ , first let us factorize each of the numbers

$\sqrt{12} \times \sqrt{6}$ $sqrt12xxsqrt6$ = $\sqrt{2 \times 2 \times 3} \times \sqrt{2 \times 3}$ $sqrt(2xx2xx3)xxsqrt(2xx3)$

= $\sqrt{2 \times 2 \times 3 \times 2 \times 3} = \sqrt{2 \times 2 \times 3 \times 3 \times 2}$ $sqrt(2xx2xx3xx2xx3)=sqrt(2xx2xx3xx3xx2)$

= $2 \times 3 \times \sqrt{2}$ $2xx3xxsqrt2$

= $6 \sqrt{2}$ $6sqrt2$

Answer 2 · 2016-03-04T05:03:23

$\sqrt{12} \times \sqrt{6} = 6 \sqrt{2}$ $sqrt 12xxsqrt6=color(blue)(6sqrt 2)$

Explanation:

$\sqrt{12} \times \sqrt{6}$ $sqrt 12xxsqrt6$

Simplify $\sqrt{12}$ $sqrt 12$ .

$\sqrt{12} = (2 \times 2 \times 3)$ $sqrt 12=(2xx2xx3)$

$\sqrt{12} = (2^{2} \times 3)$ $sqrt 12=(2^2xx3)$

Apply square root rule ${\sqrt{a}}^{2} = a$ $sqrt a^2=a$ .

$\sqrt{12} = 2 \sqrt{3}$ $sqrt 12=2sqrt 3$

Rewrite the expression.

$2 \sqrt{3} \times \sqrt{6} =$ $2sqrt 3xxsqrt6=$

$2 \sqrt{18}$ $2sqrt 18$

Simplify $2 \sqrt{18}$ $2sqrt 18$ .

$2 \sqrt{18} = 2 \sqrt{2 \times 3 \times 3}$ $2sqrt 18=2sqrt(2xx3xx3)$

$2 \sqrt{18} = 2 \sqrt{2 \times 3^{2}}$ $2sqrt 18=2sqrt(2xx3^2)$

Apply square root rule ${\sqrt{a}}^{2} = a$ $sqrt a^2=a$ .

$2 \sqrt{18} = 2 \times 3 \sqrt{2}$ $2sqrt 18=2xx3sqrt 2$

$2 \sqrt{18} = 6 \sqrt{2}$ $2sqrt 18=6sqrt 2$

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How do you simplify $\sqrt{12} \times \sqrt{6}$ $sqrt12 times sqrt 6$ ?

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