Evaluating Square & Cube Roots
Draw the symbol for square root (radical sign)
√
Is the square root of 10 closer to 3 or 4?
It is closer to 3
Is square root 60 rational or irrational?
It is irrational. It is the square root of a non-perfect square.
Which is greater?
-23.4 or square root 1160
-23.4 < square root 1160
Put the numbers in order from least to greatest.
7, square root 92, -4
-4, 7, square root 92
square root 64
8
Estimate square root 56 to the nearest integer.
≈7
Identify the rational numbers from the list:
-8, square root 42, 15, Pi
-8, 15
Which is greater?
square root 27 or 5
square root 27 > 5
Put the numbers in order from least to greatest.
square root 53, -4.7, 4
-4.7, 4, square root 53
square root 361
19
Estimate square root 111 to the nearest integer.
≈11
Identify the irrational numbers from the list:
0, square root 55, -29, 0.5222... , square root 225
55
Which is greater?
0.3679832... or 0.4
0.3679832... < 0.4
Put the numbers in order from least to greatest.
-6, 4.3333... , -2.8, square root 123
-6, -2.8, 4.333..., square root 123
square root 8281
91
Estimate square root 165 to the nearest tenth.
≈12.8
Identify an irrational square root with an approximate value of 16.
241<n<272 (not 256)
Which is greater?
square root 127 or 11.4
square root 127 < 11.4
Put the following numbers in order from least to greatest.
12.5, -1625, 159, -15
-1625, -15 ,12.5, 159
square root 17161
131
Bradley wants to paint a square canvas to hang in his living room. If he wants the area of the canvas to be 250 square inches, what should the dimensions of the canvas be? Round your answer to the nearest hundredth.
250≈15.81 inches
Martin says that 0.030303... is an irrational number because it cannot be written as a fraction. Do you agree with Martin? Show proof.
I disagree with Martin because 0.030303...=1/33.
Which is greater?
square root 42 or 6.6
square root 42 < 6.6
Put the following values in order from least to greatest.
square root 233, 7.85, 60
7.85, square root 233, 60