Pure Surds
Convert √50 into a pure surd.
5√2
Simplify: √8 + √8
2√2
√9 = ?
A) 2
B) 3
C) 4
Answer: B) 3
Fill in the blank: √___ = 6
Answer: 36
True or False: √2 is rational
Answer: False
Convert √72 into a pure surd
6√2
Simplify: 3√5 + 2√5
5√5)
Which is equal to √8?
A) 2√2
B) 4√2
C) 2√4
Answer: A) 2√2
If √x = 5, what is x?
Answer: 25
Which is a surd:
A) 9
B) √81
C) √7
Answer: C) √7
Convert √98 into a pure surd
7√2
Simplify: √18 + √2
3√2 + √2 = 4√2
Which is equal to 2√3?
A) √12
B) √9
C) √6
Answer: A) √12
If 2√3 + x√3 = 5√3, find x
Answer: 3
Which is simplified correctly?
A) √18 = 3√2
B) √18 = 6
C) √18 = 9√2
Answer: A) √18 = 3√2
Convert √80 into a pure surd
4√5
Simplify: 4√3 − √3
3√3
√32 = ?
A) 4√2
B) 2√8
C) 5√3
Answer: A) 4√2
What should be added to √50 to make it 10√2?
Answer: 5√2
What is the value of (√5)² − 1
Answer: 5 − 1 = 4
You simplified √200 to 10√2, but your teammate disagrees. Which Habit of Mind would help you decide who’s right?
Answer: Striving Accuracy, (rechecking steps)
Simplify: √27 + √12
3√3 + 2√3 = 5√3
Which one simplifies to 3√2?
A) √18
B) √50
C) √72
Answer: A) √18
You keep getting the wrong answer in √27 + √48. What Habit of Mind helps you pause, rethink, and try again?
Answer: Persisting (not giving up)
Identify the like surds:
A) 2√2, 5√2
B) 3√3, 4√2
Answer: A) 2√2, 5√2