Square 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 16 is 4, because 4 x 4 = 16.

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

Solve for p when p² = 100.

Back

p = 10 or p = -10.

Front

Solve for x when x² = 144.

Back

x = 12 or x = -12.

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, 1, 4, 9, and 16 are perfect squares.

Front

What is a perfect cube?

Back

A perfect cube is a number that can be expressed as the cube of an integer. For example, 1, 8, 27, and 64 are perfect cubes.

Front

What is the area of a square with side length s?

Back

The area of a square is calculated using the formula A = s², where A is the area and s is the length of a side.

Front

If the area of a square is 0.81 square units, what is the length of the side?

Back

The length of the side is 0.9 units, since 0.9 x 0.9 = 0.81.

Front

Is the number 1000 a perfect square or a perfect cube?

Back

1000 is a perfect cube, as it can be expressed as 10 x 10 x 10.

Front

Is the number -27/64 a perfect square or a perfect cube?

Back

-27/64 is a perfect cube, as it can be expressed as (-3/4) x (-3/4) x (-3/4).