Perfect Squares & Square Roots

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.

8 is NOT a perfect square.

$$17^2 = 289$$ .

A perfect square divided by 2 is not necessarily a perfect square. For example, $$4$$ is a perfect square, but $$\frac{4}{2} = 2$$ is not.

A perfect square divided by 4 is also a perfect square. For example, $$16$$ is a perfect square, and $$\frac{16}{4} = 4$$ is also a perfect square.

$$\text{The square root of } 324 = 18$$ .

$$\text{The square root of } 361 = 19$$ .

$$\text{The square root of } 100 = 10$$ .

The square root of a perfect square is always a whole number. For example, the square root of 25 is 5.

The first five perfect squares are 1, 4, 9, 16, and 25.