**Vocabulary Refresher**

The radicand refers to the number under the radical sign. In the radical below, the radicand is the number '5'.

### Examples

##### Example 1 of Multiplying Square roots

Step 1Check to see if you can simplify either of the square roots ( ). If you can, then simplify!

Both square roots are already simplified so skip this step.

Multiply the radicands together.

##### Example 2. A slightly more complex example

Step 1Check to see if you can simplify either of the square roots( ). If you can, then simplify!

can indeed be simplified:

Multiply the radicands together.

**Practice** Problems

Multiply the square roots below and express each answer in simplest radical form.

##### Problem 1

This problem is similar to example 1 because you can not simplify either of the square roots.

Step 1Multiply.

##### Problem 2

##### Problem 3

##### Problem 4

This problem is similar to example 2 because the square roots can be simplified. The only difference is that both square roots, in this problem, can be simplified.

Step 1Multiply.

##### Problem 5

This problem is similar to example 2 because the square roots can be simplified. The only difference is that both square roots, in this problem, can be simplified.

Step 1Multiply.

##### Problem 6

##### Problem 7

You may notice that this is the same as the problem prior problem (#6)...except that we have now added some coefficients.

Step 1Multiply.