Estimating square roots
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To estimate square roots: - Recall perfect square numbers like 4, 9, 16, 25, etc. - The square root of a number is between the greatest smaller perfect square number and the smallest greater perfect square number. - Examples show estimating the square roots of 32, 129, and 875 by identifying the closest perfect squares above and below.
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Estimating square roots
- 2. • Recall some common perfect square numbers. 12 = 1 62 = 36 112 = 121 162 = 256 22 = 4 72 = 48 122 = 144 172 = 289 32 = 9 82 = 64 132 = 169 182 = 324 42 = 16 92 = 81 142 = 196 192 = 361 52 = 25 102 = 100 152 = 225 202 = 400
- 3. How to Estimate? the greatest smaller squareroot of the smallest greater < < perfect square number a number perfect square number
- 4. How to estimate? • Example: Estimate square root of 32. • Example: Estimate square root of 129. greater • Example: Estimate square root of 875.
- 5. Example: Estimate - 40 Example: Estimate - 69 Example: Estimate - 230
- 6. • Example: Is 8.2 a good guess for square root of 62? • Example: Is 11.1 a good guess for square root of 120?
- 7. Example: • Write the letter that identifies the position of each square root.