Can square root of 10 be simplified?

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Answer 1 · 2018-07-15T16:04:10

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

Using that $sqrt(ab)=sqrt(a)*sqrt(b)$ for $a,b>=0$
we get $sqrt(10)=sqrt(2*5)=sqrt(2)*sqrt(5)$

Answer 2 · 2018-07-15T16:25:12

See below:

Since $10=2*5$ , we can rewrite this as

$sqrt(2*5)$ , which is also equal to

$sqrt2*sqrt5$

However, since we have no perfect square factors, this is about as simplified as we can get.

As a decimal, this is approximately

$3.1622$

Hope this helps!