SOLUTION: I have been working on this math problem and I can't seem to figure it out. I was wondering if someone could help me? Please and Thank You!! I would deeply appreciate it!! Prope

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Question 176192This question is from textbook Algebra and Trigonometry Structure and Method book 2
: I have been working on this math problem and I can't seem to figure it out. I was wondering if someone could help me? Please and Thank You!! I would deeply appreciate it!!
Properties of Radicals
Simplify.
The cube root of 2/9 This question is from textbook Algebra and Trigonometry Structure and Method book 2

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
root%283%2C+2%2F9%29+=+root%283%2C+2%29%2Froot%283%2C+9%29

Now you need to rationalize the denominator. You need to find something to multiply by root%283%2C+9%29 that will make the denominator a rational number.

root%283%2C+9%29+%2A+root%283%2C+9%5E2%29+=+root%283%2C+9%5E3%29+=+9.

So, multiply root%283%2C+2%29%2Froot%283%2C+9%29 by 1 in the form of root%283%2C+9%5E2%29%2Froot%283%2C+9%5E2%29, yielding:

%28%28root%283%2C+2%29%29%28root%283%2C+9%5E2%29%29%29%2F9+=+root%283%2C+162%29%2F9