# How do I rationalize Cubic root?

##### 1 Answer

Use the fact that

Together with

(And, of course, the fact that multiplying by one may change the way a number is written, but it does not change the (value of) the number.)

**Example 1**

Rationalize the denominator:

We'll use the facts mentioned above to write:

**Example 2**

Rationalize the denominator:

We could multiply by

We'll take a more direct path to the solution if we Realize that what we have is:

**Example 3** (last)

If the denominator is

think . . . (what is missing to make a perfect cube?

think some more, you can get it. . .

.

.

multiply numerator and denominator by