Squares and Square Roots
Random
Rational or Irrational?
Approximate Values of Square Roots
Comparing and Ordering Real Numbers
1
sqrt (25)
5
1
Which of the following is a perfect square?
15, 20, 49, 50
49
7x7=49
1
Is the following fraction rational or irrational? Why?
8/9
It is rational because it is a fraction. A number being able to be written as fraction is the definition of what makes a number rational.
1
Is the following statement true or false? Explain why.
1 < sqrt 5 < 2
False. The square root of 5 is between 2 and 3
2 < sqrt5 < 3
1
Compare the following by changing the ? to an inequality sign
sqrt(16) ? 3
sqrt(16)=4
sqrt(16)>3
200
Which of the following is a perfect square:
4, 10, 15, 300
4
200
What type of decimal is the following number?
5.6
terminating
200
Is the following number rational or irrational?
90
It is rational. All integers can be made into fractions by placing the number over 1 as shown.
90 = 90/1
200
A square has an area of 140 in2. What is the approximate length of one side? Explain.
11.8 or 11.9 
200
Compare the following by changing the ? to an inequality sign.
5 ? sqrt(35)
A reasonable estimate for the square root of 35 is 5.9, so therefore
5<sqrt(35)
300
Between which two square roots is
sqrt (58)
7 and 8
300
What is the square of 9?
81
300
Is the following number rational or irrational? Why?
sqrt (5)
Irrational because square roots of non-perfect squares are irrational.
300
Is the following statement true or false?
8<sqrt76<9
True. 76 is between the perfect squares 64 and 81. So the square root of 76 is between 8 and 9
300
Compare the following by changing the ? to an inequality sign
2sqrt46 ? 5+sqrt25
2sqrt46=2*7=14
5+sqrt25=10
2sqrt46>5+sqrt25
400
Which point would best represent 
sqrt (99)
D
400
What is the square root of 100?
10
400
Is the following decimal rational or irrational? Why?
2.34343434...
It is rational because repeating decimals can be made into fractions
2.343434...=2 34/99
400
Which number is the closest approximation of expression below, 7, 9, 10, 53
sqrt18+sqrt35
10
400
Compare the following statement by changing the ? to an inequality sign
10+sqrt81 ? 2sqrt120
10+sqrt81=19
2sqrt120=21.9
10+sqrt81<2sqrt120
500
What would a good decimal estimate of
sqrt(31)
Acceptable answers would be 5.5 or 5.6
500
What type of decimal is the following number:
7.8954382548...
non-repeating and non-terminating decimal
500
Is the following number rational or irrational? Why?
-58
It is rational. -58 can be made into a fraction
-58 = - 58/1
500
Which point below would be the best estimate of the square root of 184 
B, 184 is a little more than halfway between the perfect squares 169 and 196, and point B is a little more than half way between the square roots 13 and 14
500
Which of the following has the least value?
pi+4; sqrt26; 13/2; 5.99999...
sqrt26=5.1
pi+4=7.14...;13/2=6.5; 5.9999...