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!