How do you simplify $\frac{\sqrt{2}}{\sqrt{10}}$ $sqrt(2)/sqrt10$ ?

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How do you simplify $\frac{\sqrt{2}}{\sqrt{10}}$ $sqrt(2)/sqrt10$ ?

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Answer 1 · 2016-02-06T15:53:37

$\sqrt{}$ $sqrt$ 5/5 (squareroot of five over five)

Explanation:

To remove the radical in the denominator, multiply both numerator and denominator by the value of the denominator.

= $\sqrt{}$ $sqrt$ 2/ $\sqrt{}$ $sqrt$ 10 * $\sqrt{}$ $sqrt$ 10/ $\sqrt{}$ $sqrt$ 10
= $\sqrt{}$ $sqrt$ 20 / $\sqrt{}$ $sqrt$ 100
= [ $\sqrt{}$ $sqrt$ 4*5]/10
= [2 $\sqrt{}$ $sqrt$ 5]/10
= 2/10 * $\sqrt{}$ $sqrt$ 5
= 1/5 * $\sqrt{}$ $sqrt$ 5
= $\sqrt{}$ $sqrt$ 5/5

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How do you simplify $\frac{\sqrt{2}}{\sqrt{10}}$ $sqrt(2)/sqrt10$ ?

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