Perfect Squares & Square Roots

Front

What is a perfect square?

Back

A perfect square is a number that can be expressed as the product of an integer with itself. 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 36 is 6 because 6 x 6 = 36.

Front

Evaluate: √36

Back

6

Front

Evaluate: √81

Back

9

Front

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

Back

The side length is 10 cm, since the area of a square is calculated as side length × side length.

Front

What is the formula for the area of a square?

Back

The area of a square is calculated using the formula: Area = side length × side length.

Front

What is the perimeter of a square?

Back

The perimeter of a square is calculated using the formula: Perimeter = 4 × side length.

Front

If the area of a square is 121, what is the side length?

Back

The side length is 11, since √121 = 11.

Front

Evaluate: -10²

Back

-100 (Note: The square of -10 is 100, but the negative sign in front makes it -100.)

Front

What is the relationship between squares and square roots?

Back

The square root of a perfect square returns the original integer. For example, √25 = 5.