SOLUTION: Please help me rationalize the denominator: 3square root symbol (this is cube root) -3 over or divided by 50. I seperated the two into cube root -3 over or divided by cube root 5

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Question 168205This question is from textbook Intermediate Algebra
: Please help me rationalize the denominator: 3square root symbol (this is cube root) -3 over or divided by 50. I seperated the two into cube root -3 over or divided by cube root 50. I have to rationalize the denominator, so I tried to multiply both top and bottom by cube root 50. When I do that, I get cube root 150 over cube root 2500! I have no idea what the cube root of 150 or 2500 is!
I also tried to break down cube root 50 but didn't have any luck. The answer in the textbook is cube root 60 over 10. I know they have probably reduced it but I can't figure out how. I'm still working on it but am stuck. Thanks!
This question is from textbook Intermediate Algebra

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
root%283%2C+-3%29%2Froot%283%2C50%29 I assume that this is the problem.
=%28root%283%2C+-3%29%2Froot%283%2C50%29%29%2A%28root%283%2C50%29%2Froot%283%2C50%29%29%5E2
=root%283%2C-3%2A50%2A50%29%2F50
=root%283%2C-75000%29%2F50
.
Ed