Another easy radical question..just confused about what to do..?

Question

i need help =[
okay so it's


\5/64x^10 / \5/2x^3

the \/ is the square root sign and the / is a division bar..

basically, it is 64x^10 to the 5th root divided by 2x^3 to the fifth root.

my question is, how do you rationalize the denominator? i know you multiply it by x^2 but do you do anything to the two?

thanks so much

Answer 1

Write it like this to make it clearer and easier:
[(64x^10)^(1/5)]/(2x^3)^(1/5)
= [(2*2^5x^10)^(1/5)]/(2^(1/5)x^(3/5))
= [2^(1/5)*2x^2]/(2^(1/5) x^(3/5))
= 2x^2/x^(3/5)
= 2x^(7/5)

Answer 2

You need to multiply the 2 by 16, so that it will equal 32... that way when you find the 5th root, it will be a whole number. So multiply the whole thing by 16x^3