How do you simplify $(5sqrt10)/sqrt2$ ?

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Answer 1 · 2016-02-08T18:39:20

$5sqrt5$

To simplify this, we can rewrite the $sqrt(10)$ as follows:

$sqrt(10) = sqrt (2*5) = sqrt(2)sqrt5$

With that we know that the top of the fraction will be:

$(5sqrt(2)sqrt(5))/sqrt(2)$

And now we can cancel the $sqrt2$ to obtain:

$5sqrt5$

How do you simplify (5sqrt10)/sqrt2(5sqrt10)/sqrt2?