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

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 25 is 5.

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

How do you find the area of a square?

Back

The area of a square is found by squaring the length of one of its sides. Area = side × side.

Front

What is a cubed root?

Back

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

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 volume of a cube?

Back

The volume of a cube is found by cubing the length of one of its edges. Volume = edge × edge × edge.

Front

If a square has an area of 36 square centimeters, what is the length of each side?

Back

6 cm

Front

If a cube has a volume of 125 cubic inches, what is the length of each edge?

Back

5 inches

Front

What is the perimeter of a square with a side length of 4 inches?

Back

16 inches (Perimeter = 4 × side).

Front

How do you determine if a number is a perfect square?

Back

A number is a perfect square if its square root is an integer. For example, √49 = 7, which is an integer.