Perfect Squares and Square Roots

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 the square root of a number?

Back

The 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.

Front

Is the square root of 5 a rational number?

Back

No, the square root of 5 is not a rational number; it is an irrational number.

Front

What is the relationship between squaring a number and taking its square root?

Back

Squaring a number and taking its square root are inverse operations. Squaring a number raises it to the power of 2, while taking the square root finds a number that, when squared, equals the original number.

Front

What is an example of a rational number?

Back

An example of a rational number is 1/2, which can be expressed as a fraction.

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 of 7?

Back

The square of 7 is 49, calculated as 7 x 7.

Front

What is the square of 4?

Back

The square of 4 is 16, calculated as 4 x 4.

Front

What does it mean for a decimal to be rational?

Back

A decimal is rational if it terminates (ends) or repeats in a pattern.

Front

What is the square root of 25?

Back

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