Squares and Square Roots

Front

What is a square number?

Back

A square number is an integer that is the square of an integer. For example, 1, 4, 9, 16, 25 are square numbers because they can be expressed as 1², 2², 3², 4², and 5² respectively.

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, √16 = 4 because 4 × 4 = 16.

Front

Evaluate √144

Back

12

Front

If the area of a square is 100 cm², what is the length of one side?

Back

10 cm (since side length = √area = √100 = 10).

Front

What is the formula for the area of a square?

Back

Area = side length × side length or Area = side².

Front

Evaluate 7²

Back

49

Front

Which of the following is a perfect square: 25, 30, 32, 35?

Back

25 (because 5 × 5 = 25).

Front

What is the relationship between squares and square roots?

Back

The square root of a square number returns the original number. For example, √(x²) = x.

Front

Evaluate √81

Back

9

Front

If a square has a side length of 5 cm, what is its area?

Back

25 cm² (since Area = side² = 5² = 25).