SOLUTION: How do you simplify this division problem? 3(square root of 7) ___________ ___________ ___________ ___ 5(square root of 3) + 3(square root of 5)

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Question 295467:
How do you simplify this division problem?
3(square root of 7)
_______________________________________
5(square root of 3) + 3(square root of 5)

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
3sqrt(7)/5sqrt(3)+3sqrt(5) * (5sqrt(3)-3sqrt(5))/(5sqrt(3)-3sqrt(5))
=(15sqrt(21)-9sqrt(35))/(25*3)-(9*5)
=(15sqrt(21)-9sqrt(35))/30
=(5sqrt(21)-3sqrt(35))/10
.
Ed