# How do you simplify (3rd root of 5) divided by (sqrt of 5)?

##### 1 Answer

#### Explanation:

You won't be able to multiply or divide them until they have the same index. So to simplify this, we will *make* them have the same index.

Using the Law of Indices, we can rewrite this as:

As you can see, they both have fraction exponents now. We must now make those fraction exponents have the same denominator. You can use any multiple of 2 and 3, but the easiest to use is 6 (since that is the least common denominator).

Using the Law of Indices again, you can rewrite this as:

You can have that as your final answer. However, you can still rationalize this if you want. Simply multiply something that will remove the radical from the denominator.