# Simplify!!! Square Roots and Variables. =/

• Aug 21st 2012, 07:32 PM
pjlloyd100
Simplify!!! Square Roots and Variables. =/
(Crying)

Attachment 24574

Help! Need it for the ALEKS test! My Calc is kinda rusty (2years).
• Aug 21st 2012, 07:37 PM
Prove It
Re: Simplify!!! Square Roots and Variables. =/
Quote:

Originally Posted by pjlloyd100
(Crying)

Attachment 24574

Help! Need it for the ALEKS test! My Calc is kinda rusty (2years).

No need for calculus... For starters, remember that the product of square roots is equal to the square root of the product. So \displaystyle \displaystyle \begin{align*} \sqrt{2x^2v^3}\sqrt{10x^4v^6} = \sqrt{2x^2v^3 \cdot 10x^4v^6} \end{align*}. Go from here.
• Aug 21st 2012, 07:47 PM
pjlloyd100
Re: Simplify!!! Square Roots and Variables. =/
Ok from that I got sqrt(20x^6 y^9).

Then I think I remember from school we used to factor out the perect squares..? So like sqrt(20*x^4*x^2*y^9)... So lost! Am I on the right track here? I feel like I'm confusing another process with this one.
• Aug 21st 2012, 08:04 PM
pjlloyd100
Re: Simplify!!! Square Roots and Variables. =/
Got it: 2x^3 y^4 sqrt(5y)

If anyone wants to check that for me, I'll appreciate it!
• Aug 21st 2012, 08:07 PM
Prove It
Re: Simplify!!! Square Roots and Variables. =/
Quote:

Originally Posted by pjlloyd100
Got it: 2x^3 y^4 sqrt(5y)

If anyone wants to check that for me, I'll appreciate it!

Correct :)