RADICAL!
Simplify the following radical expression:
√8
A. 2√2 B. 4√2 C. 4 D. Does not Simplify
A
Explanation:
8 = 2 • 2 • 2
There are two breakout buddies of 2, and one left behind, so our answer is √8 = 2√2
Is the number below rational or irrational?
8
Rational!
Is the statement below Always True, Sometimes True, or Never True
The sum of a rational number and an irrational number is always rational
Always True
Simplify the following radical expression
3√12
A. 6√3 B. 12√3 C. 8√3 D. Does not Simplify
A!
Is the number below rational or irrational?
0.02546281...
Irrational
Is the statement below Always True, Sometimes True, or Never True
The product of a rational number and a rational number is rational
ALWAYS TRUE!
Simplify the following radical expression:
√12 • √12
A. 4√6 B. √144 C. 12 D. Does not Simplify
C
Is the equation below rational or irrational?
√2 • 2√2
rational
DOUBLE POINTS
Is the statement below Always True, Sometimes True, or Never True
The product of a rational number and an irrational number is always irrational
Sometimes True
Example: √2 • 0 = 0, a rational number
Example: √2 • 1 = √2, an irrational number
Simplify the following radical expression:
√8 • √2
A. 2√2 B. 4√2 C. 4 D. Does not Simplify
C
Is the following equation rational or irrational
√17/√17
Rational!
Explanation:
A number divided by itself is always 1, which is a rational number!
Is the statement below Always True, Sometimes True, or Never True
The product of two irrational numbers is always irrational
Sometimes True
Example: √2 • √2 = 2, a rational number
Example: √2 • √3 = √6, an irrational number
Simplify the following radical expression
2√15 • √5
A. 2√75 B. 10√3 C. 5√3 D. Does not simplify
B
Explanation:
2√15 • √5 = 2√75
75 = 5 • 5 • 3. There are two break out buddies of 5, and one 3 left behind. Therefore our answer is:
2√15 • √5 = (2 • 5)√3 = 10√3
Is the following equation rational or irrational?
√7 • √7 • √3 • √3
Rational
True or False:
The circumference of a circle is irrational
True!