# What is the following quotient 6-3(^3√6)/^3√9

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## Question:

What is the following quotient 6-3(^3√6)/^3√9 Step-by-step explanation:

We first rationalize the denominator.  This means we multiply the numerator and denominator by a factor that will make the denominator a whole number.

Our denominator is ; this can also be written as .

For 9 to be a whole number, its exponent must be a whole number.  We want to add 2/3 to the exponent of 9 on the bottom; this means we multiply by :

On the numerator, this gives us:

6(9^(2/3))-3(6^(1/3))(9^(2/3))

= On the denominator, we will have:

(9^(1/3))(9^(2/3)) = 9^(3/3) = 9^1 = 9

This gives us: From the answer and question examples above, hopefully, they might assist the student deal with the question they had been looking for and keep in mind of all the pieces stated in the answer above. You could possibly then have a discussion with your classmate and continue the school learning by studying the question with one another.