Perfect Squares - Definition and Squares


Perfect squares are simply the squares of integers. For example, since the square of 8 is 64, 64 is a perfect square.

More examples of perfect squares


The square of 1 is 1, so 1 is a perfect square.

The square of 2 is 4, so 4 is a perfect square.

The square of 3 is 9, so 9 is a perfect square.

The square of 4 is 16, so 16 is a perfect square.

The square of 5 is 25, so 25 is a perfect square.

The square of 10 is 100, so 100 is a perfect square.

Using perfect squares to estimate square roots


Between what two consecutive integers is √(13.5)?

13.5 is a number between the perfect squares 9 and 16. 

9 < 13.5 < 16

Take the square root of everything

√(9) < √(13.5) < √(16)

3 < √(13.5) < 4

√(13.5) is between 3 and 4.

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