Add the radical expressions.

Question

Add the radical expressions.

4³√80 -5³√270 =A³VB

A=

B=

Answer 1

Hi Abraham

A = -7

B = ³√10

4³√80 -5³√270 =A³VB

Break them up into products of cubes with a perfect cube being one of the factors

4³√80 = 4³√8 ³√10 = 4(2)³√10 = 8³√10

5³√270 = 5³√27³√10 = 5(3)³√10 = 15³√10

We have

8³√10 - 15³√10 = -7³√10

A = -7

B = ³√10

I hope this helps