How do you simplify $\frac{\sqrt{2}}{\sqrt{10}}$ $sqrt2/sqrt10$ ?

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Answer 1 · 2015-05-15T07:34:55

$\frac{\sqrt{2}}{\sqrt{10}} = \frac{\sqrt{2}}{\sqrt{2} \times \sqrt{5}}$ $sqrt 2 / sqrt 10 = sqrt 2 / (sqrt 2 xx sqrt 5)$

$sqrt 2 / sqrt 10 = cancelsqrt 2 / (cancelsqrt 2 xx sqrt 5)$
$= 1 / sqrt5$

rationalizing the denominator
multiplying the numerator and denominator by $sqrt5$
$1/(sqrt5) = (1 xx sqrt5) / (sqrt5 xx sqrt5)$
$= sqrt5/5$

How do you simplify sqrt2/sqrt10√2√10sqrt2/sqrt10?