Question

Simplify by taking roots of the numerator and the denominator.

^3sqrt125/27

Answer 1

We can solve by distributing the cube root to the numerator and denominator separately.
\[\sqrt[3]{125/27} = \sqrt[3]{125}/\sqrt[3]{27}\]

Answer 2

okay. I'm confused on how to do this. :)

Answer 3

The question to answer is now x*x*x = 125. Find x.
Then z*z*z = 27. Find z.

Your answer will then your simplified answer will be x/z.

Answer 4

5

Answer 5

5*5*5=125

Answer 6

3*3*3

Answer 7

Correct. So what is the final simplified answer?

Answer 8

5^3/3^3?

Answer 9

Not quite. We don't need it raised to the third power because we took the cube root. \[\sqrt[3]{125/27} = 5/3\]

Answer 10

oooh ok! :)
Thank you :)