Download Perfect squares, square roots, perfect cubes and cube roots Name: 1

Perfect squares, square roots, perfect cubes and cube roots
Name: ___________________
1. Without your notes, write all of the perfect squares from 1 to 400, including their square roots (i.e. write 2 x 2 = 4, not
just 4). Circle the ones you didn’t know or had wrong; these are the ones to make sure you study 
2. In the spaces provided, represent the number by a diagram (a square with dimensions labeled), and then give the
square root.
Number
Diagram
Square Root
a) 16
b)4
c)
1
d)
3. Explain the difference between this symbol:
and this symbol:
4. Use prime numbers to solve for the following square roots (show your number tree and make sure your answer is
clear).
a) 961
b) 2704
5. Estimate
a)
b)
c)
d)
2
6. Use a cube diagram to represent the number 125. Beside your diagram, write the equation that represents the
diagram.
7. In the expression
root is ______________.
, 343 is the ______________ or ______________, 3 is the ______________ and the cube
8. Use prime numbers to solve for the following cube roots (show your number tree and make sure your answer is
clear).
a) 343
b) 512
3
9. Use prime number numbers to determine if the following are perfect squares, perfect cubes, both, or neither.
a) 225
b) 729
c) 1944
d) 400
4