Real Number Systems and Radicals

Simplify the following radical: √24

• 2√6
• 4√6
• 2√12
• 3√8

Simplify the following radical: √300

• 3√10
• 2√150
• 100√3
• 10√3

Simplify the following radical: √150

• 5√15
• 5√2
• 5√6
• 15√5

Simplify 4√75

• 4√5
• 12√5
• 20√3
• 7√3

Simplify the following radical: 2√24

• 4√6
• 2√6
• 24√2
• 4√4

• Cannot be further simplified

Rachel states that -5.5 is an integer because it is negative.

Is she correct?

Why or why not?

• Yes, because all negatives are integers.

• Yes, because all integers have decimals.

• No, because integers do not have decimals.

• No, because integers cannot be negative.

Classify this number:  6.7

• real

• real      rational

• real      rational        integer

• real   rational   integer   whole

• Real

• Irrational

• Real, Rational, Integer

• Real, Rational

Is ½ a terminating decimal or a repeating decimal?

• terminating decimal

• repeating decimal