Question

Which of the following represents 4x 5/6 in radical form?

Answer 1

Choice b:

`4\sqrt[6]{x^5}`

Explanation:

First of all we can eliminate a and c because the 4 appears under the root sign but it should be outside

Next we have to determine what
`x^{(5)/(6)}` actually means

This is the same as
`(x^5)^{(1)/(6)}`
`(x^5)^{(1)/(6)} = \sqrt[6]{x^5}`

x raised to the power 1/6 means that it is the 6th root of the x

So

`(x^5)^{(1)/(6)} = \sqrt[6]{x^5}`

Together with the multiplier of 4 we get

`4x^{(5)/(6)} = 4\sqrt[6]{x^5}`

Answer is choice b