Perfect Squares
Perfect Cubes
Approximate
Square Roots
Approximate
Cube Roots
Compare Perfect
Squares and Cubes
100

82

What is 64?

100

53

What is 125?

100

The sqrt(18) is between these two whole numbers.

What are 4 and 5?

100

The  root(3)(10) of between these two whole numbers.

What are 2 and 3?

100

Which is the larger number? Why?

The sqrt(25) or the root(3)(27)?

What is the sqrt(25)? 

sqrt(25) = 5 and root(3)(27) = 3

200

102

What is 100?

200

103

What is 1,000?

200

The sqrt(74) is between these two whole numbers.

What are 8 and 9?

200

The  root(3)(80) of between these two whole numbers.

What are 4 and 5?

200

Which is the larger number? 

The sqrt(100) or the root(3)(512)?

What is the sqrt(100)? 

sqrt(100) = 10 and root(3)(512) = 8

300

92

What is 81?

300

73

What is 343?

300

The sqrt(200) is between these two whole numbers.

What are 14 and 15?

300

The  root(3)(300) of between these two whole numbers.

What are 6 and 7?

300

Which is the larger number? 

The sqrt(49) or the root(3)(729)?

root(3)(729)

sqrt(49) = 7 and root(3)(729) = 9

400

132

What is 169?

400

93

What is 729?

400

The -sqrt(30) is between these two whole numbers.

What are -6 and -5?

400

The  root(3)(-580) of between these two whole numbers.

What are -9 and -8?

400

Which is the larger number? 

The -sqrt(100) or the root(3)(-8)?

root(3)(-8)

-sqrt(100) = -10 and root(3)(-8) = -2

500

112

What is 121?

500

63

What is 216?

500

The -sqrt(10) is between these two whole numbers.

What are -4 and -3?

500

The  root(3)(-1,278) of between these two whole numbers.

What are -11 and -10?

500

Which is the larger number? 

The -sqrt(25) or the root(3)(-125)?

They are equal

-sqrt(25) = -5 and root(3)(-125) = -5