Question

How do you rationalize the denominator and simplify `(9w^9)/root4(2Z^7)`?

Answer 1

`(9w^9root(4)(8z))/(2z^2)`

Explanation:

You would multiply the terms of the fraction by the factor

`root(4)(2^3z)`

Then

`(9w^9root(4)(2^3z))/(root(4)(2z^7)root(4)(2^3z)`

`=(9w^9root(4)(8z))/(root(4)(2^4z^8)`

`=(9w^9root(4)(8z))/(2z^2)`