In Exercises 65–74, simplify each radical expression and then rat...

Question

In Exercises 65–74, simplify each radical expression and then rationalize the denominator.15------------³√-27x⁴y¹¹

Accepted Answer

Simplify the following expression, then eliminate the radical and the denominator by rationalizing where We have 45 divided by the Cube group of negative 25 C to the fifth D to the eighth. Now to solve this and Vin to re write everything in our denominator in a way that lets us take the cube group. So in other words, say 45 divided by the Q Group, we change our negative 1 25 to negative five to the third seats. The fifth, we will change as seats, the third multiplied by C to the second and Multiplied by D to the 6th, multiplied by D to the second. We can now take the cubit of everything 45 divided by the cube root of negative five cubs gives us negative five of C to the third gives AC and the CBO of D to the sixth gives us D squared. We are then left over with the cube root of C squared D squared. No, we want to go ahead and get rid of the radical. And our denominator, We can also simplify our 45 divided by five to give us negative nine divided by CD squared Q to C squared D squared. Now we need to multiply by a radical in such a way that lets us eliminate our cube group must multiply both the top and bottom by the Hebrew of CD. When we do that, you will get negative nine multiplied by the cube root of CD on top to find the time CD squared multiplied by the Hebrew of seats. The third seats, the third. Since we multiply by the radical, our CD will multiply our C squared D squared, we can then simplify -9 Q two CT divided by CD squared multiplied by CD. This gives us -9 Q two CD divided by C squared D to the 3rd. We can't simplify this anymore. So I answer negative nine cube to CD divided by C squared T to the third corresponds with answer D OK. I hope to help you solve the problem. Thank you for watching. Goodbye.

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In Exercises 65–74, simplify each radical expression and then rationalize the denominator.15------------³√-27x⁴y¹¹

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