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 multiplied by 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 25 is 5.

Front

How do you find the side length of a square if you know the area?

Back

To find the side length of a square, take the square root of the area.

Front

What is the area of a square with a side length of 5?

Back

The area is 25, calculated as side length squared (5 x 5).

Front

Which of the following is a perfect square: 10, 25, 50, 89?

Back

25 is a perfect square because it is 5 x 5.

Front

What is (-6)²?

Back

(-6)² = 36, because squaring a negative number results in a positive number.

Front

If the area of a square is 36 cm², what is the side length?

Back

The side length is 6 cm, since the square root of 36 is 6.

Front

What is the relationship between squares and square roots?

Back

The square root of a number is the inverse operation of squaring that number.

Front

What is the area of a square with a side length of 8?

Back

The area is 64, calculated as 8 x 8.

Front

Is 49 a perfect square?

Back

Yes, 49 is a perfect square because it is 7 x 7.