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Chapter 1: Square Roots and the Pythagorean Theorem Estimating Square Roots Reminder: Perfect squares are the set of numbers: 1, 4, 9, 16, 25, 36, 49… They are formed by squaring the natural numbers (or whole numbers): 1, 2, 3, 4, 5 … Numbers such as 2, 3, 5, and 6 are not perfect squares because they do not have whole number square roots. What we know already… You know that a square root of a given number is a number which, when multiplied by itself, results in the given number. For example: √9 = √3 x 3 = √32 = 3 You also know that the square root of a number is the side length of a square with area that is equal to that number. For example: √9 = 3 Use a copy of the number line given to you. Place each square root on the number line to show its approximate value: √2, √5, √11, √18, √24 Write each estimated square root as a decimal. Quick Review of Decimals: What strategies did you use to estimate square roots? How could you use a calculator to check your estimates? I could multiply the decimal number by itself, then check how close the product is to the given number. Look at example 2 on page 24. Homework P. 25 #4, 5, 7, 8, 9, 12, 13 (you’ll need a calculator for 12 and 13) Use the number lines given to you to complete #8 Due: Monday, Sept. 27