SOLUTION: what is the definition of perfect square and perfect cube

Question 164845: what is the definition of perfect square and perfect cube
Found 2 solutions by jim_thompson5910, Mathtut:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
A "perfect square" is simply a whole number that is the result of another whole number squared. So for instance, 9 is a perfect square since where 3 and 9 are whole numbers. Another example is 25 since .

Note: If you are a visual person, think of a square with sides of 3 units (each side is 3 units). The area of that square will be 9 square units (since area is length*width). This is where the "square" portion comes from.

A "perfect cube" is analogous to a perfect square, but this time we're dealing with cubing a whole number. So a "perfect cube" is simply a whole number that is the result of another whole number cubed. So 8 is a perfect cube since and 27 is a perfect cube since (notice these are all whole numbers).

Note: If you are a visual person, think of a cube with sides of 3 units (each side is 3 units). The volume of that cube will be 27 square units (since volume is length*width*height). This is where the "cube" portion comes from.
Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!
numbers that have rational square roots are perfect squares or a number which is the square of an integer. 1,4,9,16,25... etc numbers that have rational cube
roots are perfect cubes or a number which is the cube of an integer.1,8,27,64,...etc
you can even have fractional perfect squares and cubes such as 4/25 and 8/27

hope that helps!!!!!!!!
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