### All SAT Math Resources

## Example Questions

### Example Question #41 : How To Simplify Square Roots

Simplify:

**Possible Answers:**

**Correct answer:**

To simplify square roots, we need to factor out perfect squares. In this case, it's .

### Example Question #42 : How To Simplify Square Roots

Simplify:

**Possible Answers:**

**Correct answer:**

To simplify the radical, we should factor out perfect squares.

### Example Question #43 : How To Simplify Square Roots

Simplify:

**Possible Answers:**

**Correct answer:**

To simplify the square roots, we need to factor out the perfect squares.

### Example Question #141 : Arithmetic

Simplify:

**Possible Answers:**

**Correct answer:**

To simplify the square roots, we need to factor out perfect squares.

We can combine to have two different bases. Remember .

### Example Question #41 : How To Simplify Square Roots

Simplify:

**Possible Answers:**

**Correct answer:**

To simplify the square root, we need to determine the value of the exponent and then simplify the radical.

Now let's find perfect squares.

### Example Question #46 : How To Simplify Square Roots

Simplify:

**Possible Answers:**

**Correct answer:**

To simplify the square root, we need to determine the value of the exponent and then simplify the radical.

Now let's find perfect squares.

### Example Question #47 : How To Simplify Square Roots

Simplify:

**Possible Answers:**

**Correct answer:**

To simplify the radical, we need to find perfect squares. Then if possible, we can reduc the fraction.

### Example Question #41 : How To Simplify Square Roots

Simplify:

**Possible Answers:**

**Correct answer:**

To simplify the radical, let's deal with the parentheses first and apply the exponents. Reduce if necessary.

### Example Question #49 : How To Simplify Square Roots

Simplify:

**Possible Answers:**

**Correct answer:**

To eliminate a radical expression, we need to multiply top and bottom by the conjugate which is opposite the sign in the expression. Then simplify if necessary.

### Example Question #81 : Basic Squaring / Square Roots

Simplify:

**Possible Answers:**

**Correct answer:**

To simplify square roots, we need to find perfect squares to factor out.

We can also simplify.

Thus,

We can compute the numbers outside to get a final answer of .