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

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Answer 1 · 2016-09-30T16:41:19

#=6a#

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

#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!]