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

1 Answer
Sep 30, 2016

=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!]