How do you simplify #sqrt(72a^2)/sqrt2#?

1 Answer
Sep 30, 2016

Answer:

#=6a#

A more concise answer is #abs(6a)#

Explanation:

#sqrt(72a^2)/sqrt2#

Two square roots which are being divided or multiplied can be written as one:

#=sqrt((72a^2)/2)#

#= sqrt(36a^2)#

#=6a#

[Remember that there can be two square roots.
Both are included if you write the answer as #abs(6a)#

If you have not learnt this yet, you will later...
Nice to be a step ahead!]