Question

Which choice is equivalent to the quotient shown here when x>0?

Algebra 2 on Apex - Dividing radicals

Answer 1

Explanation:

Answer 2

Choice A.
`(7√(x))/(6)` is the correct choice.

Explanation:

Given expression for the quotient is
`(√(98x^3))/(√(72x^2))`.

Now we need to find the equivalent choice of
`(√(98x^3))/(√(72x^2))`.

So let's find that by rewriting them inside same radical

`(√(98x^3))/(√(72x^2))`

`=\sqrt{(98x^3)/(72x^2)}`

`=\sqrt{(49x^3)/(36x^2)}`

`=\sqrt{(49x)/(36)}`

`=(7√(x))/(6)`

Hence choice A.
`(7√(x))/(6)` is the correct choice.