1-4b: Square roots and cubed roots in application

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, 16, and 25 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

How do you find the square root of a number?

Back

To find the square root of a number, you determine which number multiplied by itself equals the original number. For example, the square root of 25 is 5 because 5 x 5 = 25.

Front

How do you find the cube root of a number?

Back

To find the cube root of a number, you determine which number multiplied by itself three times equals the original number. For example, the cube root of 27 is 3 because 3 x 3 x 3 = 27.

Front

What is the square root of 100?

Back

The square root of 100 is 10.

Front

What is the cube root of 216?

Back

The cube root of 216 is 6.

Front

If a square has an area of 121 square inches, what is the length of each side?

Back

Each side of the square is 11 inches.

Front

If a cube has a volume of 64 cubic inches, what is the length of each edge?

Back

Each edge of the cube is 4 inches.

Front

What is the perimeter of a square with a side length of 11 inches?

Back

The perimeter is 44 inches, calculated as 4 times the side length (4 x 11 = 44).

Front

Is 55 a perfect square?

Back

No, 55 is neither a perfect square nor a perfect cube.