How do you multiply $sqrt 2 / sqrt 10$ ?

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Answer 1 · 2018-03-29T04:41:40

$1/sqrt5$

Rule is $sqrta/sqrtb=sqrt(a/b)$

$sqrt(2/10)$

$sqrt(1/5)$ as $sqrt1=1$ answer $1/sqrt5$

Answer 2 · 2018-03-29T04:43:17

$1/sqrt5$ or $sqrt5/5$

$sqrt10 = sqrt{2*5} = sqrt2sqrt5$

So $sqrt2/sqrt10 = sqrt2/{sqrt2sqrt5} = 1/sqrt5 = 1/sqrt5*sqrt5/sqrt5 = sqrt5/5$

How do you multiply sqrt 2 / sqrt 10 sqrt 2 / sqrt 10?