ACT Math : How to multiply square roots

Study concepts, example questions & explanations for ACT Math

varsity tutors app store varsity tutors android store

Example Questions

Example Question #1 : How To Multiply Square Roots

Find the product:

 

Possible Answers:

Correct answer:

Explanation:

Simplify the radicals, then multiply:

Example Question #2 : How To Multiply Square Roots

Simplify the following completely:

Possible Answers:

Correct answer:

Explanation:

To simplify this expression, simply multiply the radicands and reduce to simplest form.

Example Question #3 : How To Multiply Square Roots

Simplify:

Possible Answers:

Correct answer:

Explanation:

When multiplying square roots, the easiest thing to do is first to factor each root. Thus:

Now, when you combine the multiplied roots, it will be easier to come to your final solution. Just multiply together everything "under" the roots:

Finally this can be simplified as:

Example Question #4 : How To Multiply Square Roots

Simplify the following:

Possible Answers:

Correct answer:

Explanation:

When multiplying square roots, the easiest thing to do is first to factor each root. Thus:

Now, when you combine the multiplied roots, it will be easier to come to your final solution. Remember that multiplying roots is very easy! Just multiply together everything "under" the roots:

Finally this can be simplified as:

Example Question #5 : How To Multiply Square Roots

State the product: 

Possible Answers:

Correct answer:

Explanation:

Don't try to do too much at first for this problem. Multiply your radicals and your coefficients, then worry about any additional simplification.

Now simplify the radical.

Example Question #6 : How To Multiply Square Roots

Find the product: 

Possible Answers:

Correct answer:

Explanation:

Don't try to do too much at first for this problem. Multiply your radicals and your coefficients, then worry about any additional simplification.

Now, simplify your radical.

Learning Tools by Varsity Tutors

Incompatible Browser

Please upgrade or download one of the following browsers to use Instant Tutoring: