Square Roots and Cube Roots

Front

What is a square root?

Back

A square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 36 is 6, because 6 x 6 = 36.

Front

What is a cube root?

Back

A cube root of a number is a value that, when multiplied by itself three times, gives the original number. For example, the cube root of 27 is 3, because 3 x 3 x 3 = 27.

Front

How do you find the side length of a cube if you know its volume?

Back

Front

What is a perfect square?

Back

A perfect square is a number that can be expressed as the square of an integer. For example, 25 is a perfect square because it is equal to 5 x 5.

Front

Is 225 a perfect square?

Back

Yes, 225 is a perfect square because it can be expressed as 15 x 15.

Front

Is 27 a perfect square?

Back

No, 27 is not a perfect square because there is no integer that, when squared, equals 27.

Front

What is the formula for the area of a square?

Back

Front

If the area of a square is 36 cm², what is the length of one side?

Back

Front

What is the relationship between square roots and perfect squares?

Back

If a number is a perfect square, its square root will be an integer. For example, the square root of 16 is 4, which is an integer.

Front

What is the relationship between cube roots and perfect cubes?

Back

If a number is a perfect cube, its cube root will be an integer. For example, the cube root of 64 is 4, which is an integer.