How do you simplify $\sqrt{6} \cdot \sqrt{8}$ $sqrt6*sqrt8$ ?

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How do you simplify $\sqrt{6} \cdot \sqrt{8}$ $sqrt6*sqrt8$ ?

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Answer 1 · 2018-03-08T15:17:22

$4 \sqrt{3}$ $4sqrt3$

Explanation:

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

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

$\Rightarrow \sqrt{6} \times \sqrt{8}$ $rArrsqrt6xxsqrt8$

$= \sqrt{6 \times 8} = \sqrt{48}$ $=sqrt(6xx8)=sqrt48$

$\sqrt{48} = \sqrt{16 \times 3} = \sqrt{16} \times \sqrt{3} = 4 \sqrt{3}$ $sqrt48=sqrt(16xx3)=sqrt16xxsqrt3=4sqrt3$

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How do you simplify $\sqrt{6} \cdot \sqrt{8}$ $sqrt6*sqrt8$ ?

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