ACT Math : How to multiply square roots

Example Questions

Example Question #1 : Square Roots And Operations

Find the product:

Explanation:

Example Question #2 : Square Roots And Operations

Simplify the following completely:

Explanation:

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

Example Question #1 : Square Roots And Operations

Simplify:

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 : Square Roots And Operations

Simplify the following:

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 : Square Roots And Operations

State the product:

Explanation:

Example Question #6 : Square Roots And Operations

Find the product: