# Does anyone understand what this question is asking?

##### 2 Answers

#### Explanation:

The expression is

Multiply and divide by the same number #3^(2/3)

Now, for the denominator, use

Use,

It becomes

Thanks to Andrea for identifying this as the print in ( D ).

Here is a longer answer to your question. (Using different notation.)

#### Explanation:

We start with

Looking at the list of choices, we see that each choice has an

Looking at the starting expression and the choices of answers, we see that one difference is that the start has a radical (a root) in the denominator and none of the answer choices have that.

What the question is asking us to do is to write an expression that is equivalent to the start, but has no radical in the denominator.

(It's like writing an equal number, but "expression" because of the variable).

The number

AHA! We are being asked to rationalize a denominator. ("Rationalize" mean "make rational".)

Now, for square roots, we know that

The third root has the property that

So we would like to see

We already have

We'll multiply

# = (xroot3(3^2))/(root3(3)root3(3^2))#

# = (xroot3(3^2))/root3(3^3)#

# = (xroot3(3^2))/3#

This is not one of the choices, but

**Note**

I think the solution would be clearer if we had

# = (xroot3(5^2))/(root3(5)root3(5^2))#

# = (xroot3(5^2))/root3(5^3)#

# = (xroot3(5^2))/5#