SOLUTION: I really need some help. the square root of 3x^4y^3 divided the sqaure root of 9xy^5 The only thing I thought to do was to put the problems vertical instead of horizontal and then

Question 142299: I really need some help. the square root of 3x^4y^3 divided the sqaure root of 9xy^5 The only thing I thought to do was to put the problems vertical instead of horizontal and then get the square root of 9. Im not sure what the next step is.
Found 2 solutions by stanbon, rapaljer:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
square root of 3x^4y^3 divided the sqaure root of 9xy^5
-----------
= sqrt[3x^4y^3/9xy^5]
Multiply numerator and denominator by xy so the denominator becomes
a perfect square:
= sqrt[3x^5y^4/9x^2y^6]
Simplify the denominator:
= sqrt[3x^5y^4] / 3xy^3
Simplify the numerator:
= [x^2y^2/3xy^3] sqrt(3x)
Reduce the fraction:
= [x/3y]*sqrt(3x)
===================
Cheers,
Stan H.
Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!

First, make a single square root:

Next, reduce the fraction, but I recommend NOT reducing the 3 and the 9, since you prefer to have a perfect square of 9 in the denominator. Do it this way:

The perfect square denominator is great. Take this square root:

Simplify the numerator by breaking it down into two square roots, placing all perfect squares in the first square root sign.

YOU HAVE GOT TO SEE MY WEBSITE FOR A SIMPLER EXPLANATION OF SQUARE ROOTS!! Click on my tutor name "rapaljer" anywhere in algebra.com. Take the second link on my homepage, which is "Basic, Intermediate, and College Algebra: One Step at a Time." Choose Basic Algebra, and look for Chapter 5. I think it will be great support for whatever textbook you are using!!

R^2

RELATED QUESTIONS
I would really appreciate help on this problem. It is multiplying radicals. the... (answered by rapaljer)
how do i simplify this? the square root of 2x times the sqaure root of... (answered by nerdybill,Alan3354,Mathtut)
if 3 times the square root of 7 divided by "a" times the square root of 7 equals 3 times... (answered by stanbon)
Please help me rationalize the denominater of sqaure root 6 over sqaure root 5 minus... (answered by t0hierry)
Im having trouble with this one. The sqaure root of 12x^2y^3 - the sqaure root of 27x^4y. (answered by stanbon)
I am in need of some help Sqaure root y+9=1 and Simplify Square root 1/5 Thank... (answered by stanbon)
Good day to all,I need some help with some problems,they only thing is I don't have the... (answered by tutorcecilia)
I don't know how to do these. I just figured out how to simplify radical expressions, now (answered by stanbon)
I need to simplify: -5+ the square root of 3 divided by 1 - the square root of 2. I... (answered by Alan3354)