Square, Cube, Rational and Irrational

Front

What is a perfect square?

Back

A perfect square is a number that can be expressed as the product of an integer multiplied by itself. 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 product of an integer multiplied by itself three times. For example, 1, 8, 27, and 64 are perfect cubes.

Front

What is the cube root of a number?

Back

The 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 1000 is 10.

Front

What is the difference between rational and irrational numbers?

Back

Rational numbers can be expressed as a fraction of two integers, while irrational numbers cannot be expressed as a simple fraction. For example, π and √2 are irrational.

Front

Is 25 a perfect square?

Back

Yes, 25 is a perfect square because it can be expressed as 5 x 5.

Front

Is 64 both a perfect square and a perfect cube?

Back

Yes, 64 is both a perfect square (8 x 8) and a perfect cube (4 x 4 x 4).

Front

What are whole numbers?

Back

Whole numbers are non-negative integers, including 0, 1, 2, 3, and so on.

Front

What is an example of an irrational number?

Back

An example of an irrational number is π (pi), which cannot be expressed as a fraction.

Front

What is the square root of 16?

Back

The square root of 16 is 4, since 4 x 4 = 16.

Front

What is the cube of 3?

Back

The cube of 3 is 27, since 3 x 3 x 3 = 27.