Perfect Squares & Estimating Square Roots

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Presentation transcript:

Perfect Squares & Estimating Square Roots Unit 1 Perfect Squares & Estimating Square Roots

On the next slide is a list of perfect squares.

1= 1 8= 64 15= 225 2= 4 9= 81 3= 9 10= 100 4= 16 11= 121 5= 25 12= 144 6= 36 13= 169 7= 49 14= 196

What is a Square Root? A square root is a number that, when multiplied by itself, equals a specific number. 4 is the square root of 16 because 4 × 4 = 16 Every number has 2 square roots: Principal Root – positive square root Negative Root – negative square root

What is a Perfect Square? A perfect square is a number that has an integer for its square root. 16 is a perfect square because its square root is an integer ( 16 =4) 17 is not a perfect square because its square root is a decimal.4 × 4 = 16

If you don’t have a perfect square, you can estimate the square root. 4 examples are shown on the next slide.

12 22 9 16 16 25 3 < 12 < 4 4 < 22 < 5 12 ≈3 22 ≈5 200 63 49 64 196 225 7 < 63 < 8 14 < 200 < 15 63 ≈8 200 ≈14