﻿ How to Multiply Square roots with examples solved step by step and many practice problems. # How to Multiply Square Roots

Examples, formula and the Steps!

Vocabulary Refresher

### Examples

##### Example 1 of Multiplying Square roots
Step 1

Check 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.

Step 2

Step 3
##### Example 2. A slightly more complex example
Step 1

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

can indeed be simplified:

Step 2

Step 3

### 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 1
Check to see if you can simplify either of the square roots. If you can, then simplify!
Skip this since both square roots are already simplified.
Step 2

Multiply.

Step 3
##### Problem 2

This problem is similar to example 2 because 1 of the square roots can be simplified.

Step 1
Check to see if you can simplify either of the square roots. If you can, then simplify!
can be simplified:
Step 2
Multiply
Step 3
is already in simplest form so you are done.
##### Problem 3
This problem is similar to example 2 because 1 of the square roots can be simplified. Step 1
Check to see if you can simplify either of the square roots. If you can, then simplify!
can indeed be simplified:
Step 2
Multiply
Step 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 1
Check to see if you can simplify either of the square roots. If you can, then simplify!
Step 2

Multiply.

Step 3
##### 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 1
Check to see if you can simplify either of the square roots. If you can, then simplify!
Step 2

Multiply.

Step 3
##### Problem 6

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 1
Check to see if you can simplify either of the square roots. If you can, then simplify!
Step 2

Multiply.

Step 3
##### 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 1
Check to see if you can simplify either of the square roots. If you can, then simplify!
Step 2

Multiply.

Step 3