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

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Answer 1 · 2017-02-10T20:10:17

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

You would multiply the terms of the fraction by the factor

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

Then

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

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

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

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