Understanding Radicals and Simplifying Them

What is a perfect square?

• A number that is less than 100

• A number that can be divided by 2

• A number whose square root is a whole number

• A number that is a multiple of 10

What is the square root of 196?

• 12

• 13

• 15

• 14

Why can't you take the square root of a negative number?

• Because it results in a complex number

• Because it results in a zero

• Because it results in a positive number

• Because it results in an undefined number

What is the result of multiplying the square root of 4 by the square root of 9?

• 12

• 6

• 18

• 3

How can you simplify the expression √(4 * 16)?

• By taking the square root of 64

• By separating into √8 * √8

• By taking the square root of 20

• By separating into √4 * √16

What is the first step in simplifying a radical using perfect squares?

• Divide the number by 2

• Multiply the number by 2

• Factor the number using at least one perfect square

• Add 10 to the number

What is the simplified form of √75?

• 15

• 3√5

• 25

• 5√3

Which perfect square divides evenly into 432?

• 169

• 144

• 81

• 64

What is the simplified form of 2√96?

• 4√6

• 16√3

• 12√8

• 8√6

What is the simplified form of √50?

• 25

• 10

• 2√5

• 5√2