How to multiply square roots

Help Questions

ACT Math › How to multiply square roots

Questions 1 - 6
1

State the product:

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.

2

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:

3

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:

4

Simplify the following completely:

Explanation

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

5

Find the product:

Explanation

Simplify the radicals, then multiply:

6

Find the product:

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.