Estimating Square Roots

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Presentation transcript:

Estimating Square Roots Notes and Skills Practice

Perfect Squares Square roots that work out evenly are called “perfect squares”

What if it’s not a perfect square? Square roots that do not work out evenly are irrational numbers Because of this, we can only estimate or round the answer

Steps Find the two perfect squares that the number is between Decide if the decimal should be big, small, or in the middle Multiply until you find the decimal that is closest

Notes – Estimating Square Roots Perfect Squares – Double check your table! 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 20 25 1 4 9 16 25 36 49 64 81 100 121 144 169 196 225 400 625

Example 79 ≈ 64 81 79 8 9 8.__ 8.9 8.8 x 8.8 704 +7040 77.44 8.9 x 8.9 801 +7120 79.21

Practice – Estimating Square Roots 3.7 7.1 6.2 9.5 2.4 12.6 1) 14 4) 90 2) 50 5) 6 3) 39 6) 160