How do you simplify √2( √8 - 4 )?

1 Answer
Apr 1, 2018

Answer:

#4 - 4sqrt2#

Explanation:

#sqrt2(sqrt8-4)#

To simplify this, we need to use the distributive property.

That means that we multiply the #sqrt2# with everything inside the parenthesis:
#sqrt2 * sqrt8 = sqrt16 = 4#

#sqrt2 * -4 = -4sqrt2#

So the expression becomes #4 - 4sqrt2#.

Hope this helps!