What is this in simplest radical form?

#-sqrt(32)#

1 Answer
Apr 11, 2018

#-4sqrt(2)#

Explanation:

#-sqrt32#

Ask yourself the question, does #32# contain any perfect squares?

What I mean by that is when trying to simplify a radical, look for any perfect squares under the radical that you can the square root of

Perfect squares are numbers that are squares of whole numbers:
So for example: #4, 9, 16, 25#

Write out #32# as a product of a number and a perfect square, the bigger the perfect square, the quicker you are done:
#8*4= 32#
#16*2=32#

We will use the second, as it has a bigger perfect square:

#-sqrt(16*2)#

What is square root of 16?

#-4sqrt(2)#