Perfect Squares and Cubes

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

What is the square root of 16?

Back

The square root of 16 is 4.

Front

What is the cube root of 27?

Back

The cube root of 27 is 3.

Front

How do you find the cube root of a number?

Back

To find the cube root of a number, you need to determine which number multiplied by itself three times equals the original number.

Front

What is the relationship between perfect squares and perfect cubes?

Back

Some numbers can be both perfect squares and perfect cubes, such as 64, which is 8 squared and 4 cubed.

Front

What is the cube of 4?

Back

The cube of 4 is 64, since 4 x 4 x 4 = 64.

Front

What is the square of 5?

Back

The square of 5 is 25, since 5 x 5 = 25.

Front

If a number is a perfect square, what can you say about its prime factorization?

Back

In the prime factorization of a perfect square, all prime factors must have even exponents.

Front

If a number is a perfect cube, what can you say about its prime factorization?

Back

In the prime factorization of a perfect cube, all prime factors must have exponents that are multiples of three.