SOLUTION: Please help me with this problem Rationalize the denominator <a rel=nofollow HREF="https://imgbb.com/"><img src="https://i.ibb.co/5vmS6zp/IMG-4270.jpg" alt="IMG-4270" borde

Algebra ->  Radicals -> SOLUTION: Please help me with this problem Rationalize the denominator <a rel=nofollow HREF="https://imgbb.com/"><img src="https://i.ibb.co/5vmS6zp/IMG-4270.jpg" alt="IMG-4270" borde      Log On


   

Question 1196038: Please help me with this problem
Rationalize the denominator
IMG-4270
Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
3%2Froot%285%2C+8%29+

Multiply by the conjugate root%285%2C+8%5E4%29+

%283root%285%2C+8%5E4%29+%29%2F%28root%285%2C+8%29+%2Aroot%285%2C+8%5E4%29+%29

%28-3root%285%2C+8%5E4%29+%29%2F8+

write root%285%2C+8%5E4%29+ as root%285%2C+%282%5E3%29%5E4%29+=root%285%2C2%5E12+%29=root%285%2C2%5E12%29+

%283%2Aroot%285%2C2%5E12%29+%29%2F8

simplify root%285%2C2%5E12%29=4%2A2%5E%282%2F5%29

%283+%2A4%2A+2%5E%282%2F5%29%29%2F8

%283+%2A2%5E%282%2F5%29%29%2F2 or %283%2Aroot%285%2C4%29%29%2F2



Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!
Please help me with this problem
Rationalize the denominator
IMG-4270 
3%2Froot%285%2C+8%29 is the same as 3%2Fmatrix%282%2C1%2C+%22+%22%2C+8%5E%281%2F5%29%29

We then get: 

You didn't mention anything about NEGATIVE exponents being DISALLOWED!