### All Algebra II Resources

## Example Questions

### Example Question #11 : Understanding Radicals

Simplify:

**Possible Answers:**

**Correct answer:**

Rewrite the radical using common factors.

Recall that is equivalent to the imaginary term .

Simplify the roots.

The answer is:

### Example Question #12 : Understanding Radicals

Evaluate:

**Possible Answers:**

**Correct answer:**

Evaluate each square root. The square root of the number is equal to a number multiplied by itself.

The answer is:

### Example Question #13 : Understanding Radicals

Simplify the radicals:

**Possible Answers:**

**Correct answer:**

Simplify each radical. A number inside the radical means that we are looking for a number times itself that will equal to that value inside the radical.

For a fourth root term, we are looking for a number that multiplies itself four times to get the number inside the radical.

Replace the values and determine the sum.

The answer is:

### Example Question #14 : Understanding Radicals

Simplify the radicals:

**Possible Answers:**

**Correct answer:**

Do not multiply the terms inside the radical. Instead, the terms inside the radical can be simplified term by term.

Simplify each square root.

The answer is:

### Example Question #15 : Understanding Radicals

Solve:

**Possible Answers:**

**Correct answer:**

Solve by evaluating the square roots first.

Substitute the terms back into the expression.

The answer is:

### Example Question #16 : Understanding Radicals

Solve the square roots:

**Possible Answers:**

**Correct answer:**

Evaluate each radical. The square root of a certain number will output a number that will equal the term inside the radical when it's squared.

Replace all the terms.

The answer is:

### Example Question #17 : Understanding Radicals

Evaluate:

**Possible Answers:**

**Correct answer:**

This expression is imaginary. To simplify, we will need to factor out the imaginary term as well as the perfect square.

Simplify the terms.

The answer is:

### Example Question #18 : Understanding Radicals

Solve:

**Possible Answers:**

**Correct answer:**

Evaluate each square root. The square root identifies a number that multiplies by itself to equal the number inside the square root.

Determine the sum.

The answer is:

### Example Question #19 : Understanding Radicals

Evaluate, if possible:

**Possible Answers:**

**Correct answer:**

The negative numbers inside the radical indicates that we will have imaginary terms.

Recall that .

Rewrite the radicals using as the common factor.

Replace the terms and evaluate the square roots.

The answer is:

### Example Question #20 : Understanding Radicals

Simplify:

**Possible Answers:**

**Correct answer:**

Evaluate by solving each square root first. The square root of a number is a number that multiplies by itself to achieve the number inside the square root.

Rewrite the expression.

The answer is:

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