**Vocabulary Refresher**

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

**Video** on How To Multiply Square Roots

### 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.

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

Step 1Multiply

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

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

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

Step 1Multiply