SOLUTION: how to figure out this problem-- dividing radical expressions square root 3x squared y cubed over 4 square root 5xy cubed I hope you understand what I'm trying to say

Question 176549: how to figure out this problem-- dividing radical expressions
square root 3x squared y cubed over 4 square root 5xy cubed
I hope you understand what I'm trying to say
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
First, simplify

So where every variable is positive.

------------------------------------

Now simplify

So where every variable is positive.

=====================================================

So

simplifies to

Highlight the common terms.

Cancel out the common terms.

Simplify

Multiply the numerator and denominator by (to rationalize the denominator)

Multiply by itself to get

Combine the radicals

Multiply

Cancel out like terms.

Simplify

Simplify the square root.

Cancel out like terms.

=====================================================
Answer:

So after all of that, the solution is

where every variable is positive
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