SOLUTION: My homework says to rationalize the denominator. I've tried another problem similar to this and I ended up getting it wrong. This is another one I'm stuck on. Cube root of 35 over
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Question 532580: My homework says to rationalize the denominator. I've tried another problem similar to this and I ended up getting it wrong. This is another one I'm stuck on. Cube root of 35 over the cube root of 21. I thought you had to break the top as cube roots of 5 and 7 and break the bottom as cube roots of 3 and 7 and cancel out, then multiply the top and bottom by the cube root of three. Is that the correct way to rationalize? Please and thank you!
Found 2 solutions by stanbon, Alan3354:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Cube root of 35 over the cube root of 21
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Multiply numerator and denomator by cbrt(21^2) to get:
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= cbrt(35*21^2)/cbrt(21^3)
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= cbrt(7^3*5*3^2)/21
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= (7/21)*cbrt(45)
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= (1/3)cbrt(45)
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Cheers,
Stan H.
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Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Cube root of 35 over the cube root of 21.
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