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How to Multiply Square Roots

Examples, formula and the Steps!

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

Video on How To Multiply Square Roots

Example 1 of Multiplying Square roots
Example 1 of mulitplying 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) Multiply the radicands together exmaple 1 step 2
Step 3) Simplify

Example 2. A slightly more complex example
Example 2 of mulitplying square roots
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 2
Step 3) Simplify

Practice Problems

Multiply the square roots below and express each answer in simplest radical form.
Problem 1)
First Steps
Problem 2)
First Steps
Problem 3)
First Steps
Problem 4)
First Steps
Problem 5)
First Steps
Problem 6)
First Steps
Problem 7)
First Steps