How do you simplify $(4 \sqrt{3}) (3 \sqrt{6})$ $(4sqrt3)(3sqrt6)$ ?

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How do you simplify $(4 \sqrt{3}) (3 \sqrt{6})$ $(4sqrt3)(3sqrt6)$ ?

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Answer 1 · 2017-08-18T08:00:22

$36 \sqrt{2}$ $36sqrt2$

Explanation:

$using the law of radicals$ $"using the "color(blue)"law of radicals"$

$∙ x \sqrt{a} \times \sqrt{b} \Leftrightarrow \sqrt{a b}$ $•color(white)(x)sqrtaxxsqrtbhArrsqrt(ab)$

$\Rightarrow 4 \sqrt{3} \times 3 \sqrt{6}$ $rArr4sqrt3xx3sqrt6$

$= (4 \times 3) \times \sqrt{3} \times \sqrt{6}$ $=(4xx3)xxsqrt3xxsqrt6$

$= 12 \times \sqrt{18}$ $=12xxsqrt18$

$= 12 \times \sqrt{9 \times 2}$ $=12xxsqrt(9xx2)$

$= 12 \times \sqrt{9} \times \sqrt{2}$ $=12xxsqrt9xxsqrt2$

$= 12 \times 3 \times \sqrt{2}$ $=12xx3xxsqrt2$

$= 36 \sqrt{2}$ $=36sqrt2$

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How do you simplify $(4 \sqrt{3}) (3 \sqrt{6})$ $(4sqrt3)(3sqrt6)$ ?

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