How do you find the square root of 56?

1 Answer
Jul 6, 2018

#2sqrt14#

Explanation:

Recall the radical law

#sqrt(ab)=sqrta*sqrtb#

This means that we can rewrite the square root of the product as the product of the square roots.

We know #56=4*14#, so this allows us to rewrite #sqrt56# as

#sqrt4*sqrt14#

This simplifies to

#2sqrt14#

Since #14# has no perfect square factors, we cannot factor this any further.

Hope this helps!