### All ACT Math Resources

## Example Questions

### Example Question #1 : Square Roots And Operations

Find the product:

**Possible Answers:**

**Correct answer:**

Simplify the radicals, then multiply:

### Example Question #2 : Square Roots And Operations

Simplify the following completely:

**Possible Answers:**

**Correct answer:**

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

### Example Question #1 : Square Roots And Operations

Simplify:

**Possible Answers:**

**Correct answer:**

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:**

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:**

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:**

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.

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