How do you simplify $\frac{\sqrt{2}}{\sqrt{8}}$ $sqrt(2)/sqrt(8)$ ?

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How do you simplify $\frac{\sqrt{2}}{\sqrt{8}}$ $sqrt(2)/sqrt(8)$ ?

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Answer 1 · 2017-03-02T17:37:05

$\frac{1}{2}$ $1/2$

Explanation:

When you are multiplying or dividing two square roots. you can combine them into one.

$\sqrt{a} \times \sqrt{b} = \sqrt{a \times b} or \frac{\sqrt{a}}{\sqrt{b}} = \sqrt{\frac{a}{b}}$ $sqrta xx sqrt b= sqrt(axxb)" or " sqrta/sqrtb = sqrt(a/b)$

$\frac{\sqrt{2}}{\sqrt{8}} = \sqrt{\frac{2}{8}} \leftarrow$ $sqrt2/sqrt8 = sqrt(2/8)" "larr$ now simplify

$\sqrt{\frac{2}{8}} = \sqrt{\frac{1}{4}}$ $sqrt(2/8)=sqrt(1/4)$

$= \frac{1}{2}$ $= 1/2$

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How do you simplify $\frac{\sqrt{2}}{\sqrt{8}}$ $sqrt(2)/sqrt(8)$ ?

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How do you simplify $\frac{\sqrt{2}}{\sqrt{8}}$ $sqrt(2)/sqrt(8)$ ?