How do you simplify $\frac{\sqrt{300}}{\sqrt{6}}$ $sqrt300/sqrt6$ ?

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How do you simplify $\frac{\sqrt{300}}{\sqrt{6}}$ $sqrt300/sqrt6$ ?

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Answer 1 · 2018-04-19T18:28:12

$\frac{\sqrt{300}}{\sqrt{6}} = \sqrt{50} = 5 \sqrt{2}$ $(sqrt300)/(sqrt6)=sqrt50=5sqrt2$

Explanation:

$\frac{\sqrt{300}}{\sqrt{6}}$ $(sqrt300)/(sqrt6)$
$\Rightarrow \sqrt{\frac{300}{6}}$ $rArr sqrt(300/6)$
$\Rightarrow \sqrt{50} d = \sqrt{5^{2} \times 2}$ $rArr sqrt50 color(white)( "d")=sqrt(5^2xx2)$
$\Rightarrow 5 \sqrt{2}$ $rArr 5sqrt2$

Answer 2 · 2018-04-19T19:22:59

$5 \sqrt{2}$ $5sqrt2$

Explanation:

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

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

$∙ x \frac{\sqrt{a}}{\sqrt{b}} \Leftrightarrow \sqrt{\frac{a}{b}}$ $•color(white)(x)sqrta/sqrtbhArrsqrt(a/b)$

$\Rightarrow \frac{\sqrt{300}}{\sqrt{6}}$ $rArrsqrt300/sqrt6$

$= \sqrt{\frac{300}{6}} = \sqrt{50}$ $=sqrt(300/6)=sqrt50$

$\sqrt{50} = \sqrt{25 \times 2} = \sqrt{25} \times \sqrt{2} = 5 \sqrt{2}$ $sqrt50=sqrt(25xx2)=sqrt25xxsqrt2=5sqrt2$

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How do you simplify $\frac{\sqrt{300}}{\sqrt{6}}$ $sqrt300/sqrt6$ ?

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How do you simplify sqrt300/sqrt6√300√6sqrt300/sqrt6?

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How do you simplify $\frac{\sqrt{300}}{\sqrt{6}}$ $sqrt300/sqrt6$ ?