Can square root of 10 be simplified?

2 Answers
Jul 15, 2018

Answer:

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

Explanation:

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

Jul 15, 2018

Answer:

See below:

Explanation:

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!