Squares, Perfect Squares, and Simplifying Radicals

Which of the following is a perfect square?

• 12
• 90
• 40
• 64

Which of the following in NOT a perfect square?

• 49

• 81

• 111

• 144

144

• is a perfect square.

• is not a perfect square.

65

• Is a perfect square.
• Is not a perfect square.

169

• Is a perfect square.
• Is not a perfect square.

Use a factor tree to find the prime factorization of 32

• 2 x 2 x 2 x 4

• 2 x 2 x 2 x 2 x 2

Use a factor tree to find the prime factorization of 60

• 5 x 3 x 2 x 2

• 7 x 6 x 5

Use a factor tree to find the prime factorization of 72

• 2 x 2 x 2 x 3 x 3

• 4 x 3 x 3 x 2

Simplify the following radical: √32

• 3√2
• 4√8
• 16√2
• 4√2

Simplify the following radical: √28

• 7√2
• 7√4
• 4√7
• 2√7