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Lesson 2: Square Roots Exercises 1–4 1. Determine the positive square root of 81, if it exists. Explain. 2. Determine the positive square root of 225, if it exists. Explain. 3. Determine the positive square root of −36, if it exists. Explain. 4. Determine the positive square root of 49, if it exists. Explain. Discussion – Place the following numbers on the number line below. Estimate the solutions to one decimal place. SHOW ALL WORK a. √1 e. √2 g. √5 b. √4 f. √3 h. √6 c. √16 i. √7 d. √25 j. √8 Exercises 5–9 Determine the positive square root of the number given. If the number is not a perfect square, determine which integer the square root would be closest to, then use “guess and check” to give an approximate answer to one or two decimal places. 5. √49 6. √62 7. √400 8. √122 9. Which of the numbers in Exercises 5–8 are not perfect squares? Explain. Problem Set Determine the positive square root of the number given. If the number is not a perfect square, approximate the answer to one or two decimal places. 1. √169 2. √256 3. √81 4. √147 5. √8 6. Which of the numbers in Problems 1–5 are not perfect squares? Explain. 7. Place the following list of numbers in their approximate locations a number line then give their approximate solutions to one or two decimal places. √32 = √12 = √27 = √18 = √23 = √50 = 8. Between which two integers will √45 be located? Explain how you know.