Simplifying Surds by Multiplication

What is the main goal of simplifying a surd?

• To rewrite the surd so it has no perfect square factors

• To make the number under the root sign a perfect square

• To increase the value of the surd

• To make the surd a whole number

Which of the following is a perfect square factor of 20?

• 4

• 10

• 2

• 5

Which of the following is not a perfect square?

• 16

• 9

• 4

• 15

If you multiply sqrt 2 by sqrt 3, what is the result?

• sqrt 12

• sqrt 9

• sqrt 6

• sqrt 5

Which of the following is a perfect square factor of 18?

• 3

• 12

• 6

• 9

What is the result of multiplying sqrt 5 by itself?

• 10

• sqrt 25

• 5

• sqrt 10

What happens when you multiply two identical surds?

• The result is zero

• The result is a fraction

• The result is a whole number

• The result is another surd