# Math Help - Simplify!!! Square Roots and Variables. =/

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

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

2. ## Re: Simplify!!! Square Roots and Variables. =/

Originally Posted by pjlloyd100

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 \begin{align*} \sqrt{2x^2v^3}\sqrt{10x^4v^6} = \sqrt{2x^2v^3 \cdot 10x^4v^6} \end{align*}. Go from here.

3. ## 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.

4. ## 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!

5. ## Re: Simplify!!! Square Roots and Variables. =/

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