Perfect Squares and 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 25 is 5, since 5 x 5 = 25.

Front

What is the formula for finding the area of a square?

Back

The area of a square is calculated using the formula: Area = side × side, or Area = side².

Front

Calculate the square of -10.

Back

(-10)² = 100.

Front

What are the two square roots of 25?

Back

The two square roots of 25 are 5 and -5.

Front

If the side of a square is 17 inches, what is its area?

Back

The area of the square is 289 square inches, calculated as 17 × 17.

Front

Calculate the square of -11.

Back

(-11)² = 121.

Front

If a school has 324 students and wants to arrange them in rows of equal size, how many students should be in each row if there are 18 rows?

Back

If there are 18 rows, then each row should have 18 students, since 324 ÷ 18 = 18.

Front

What is the relationship between perfect squares and their square roots?

Back

The square root of a perfect square is an integer. For example, the square root of 36 is 6, which is an integer.

Front

What is the square of a negative number?

Back

The square of a negative number is always positive. For example, (-3)² = 9.