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NAME: What: Why: Math -7NOTES DATE: ______/_______/_______ Square numbers and square roots To examine the perfect square numbers up to 400 and to find the square root of both perfect and non-perfect square numbers. This square represents which perfect square #? The square root of this square is _______________ because it is a 4 x 4 square. The square root is the length of the _______________ of the square. Perfect Square Square Roots: Square Roots: #’s: 1² = _____ 2² = _____ 3² = _____ 4² = _____ 5² = _____ 6² = _____ 7² = _____ 8² = _____ 9² = _____ 10² = _____ 11² = _____ 12² = _____ 13² = _____ 14² = _____ 15² = _____ 16² = _____ 17² = _____ 18² = _____ 19² = _____ 20² = _____ Perfect square EXAMPLES: 1. √64 = 2. √225 = 3. √ 36 = 4. √ 169 = 5. √ 400 = 6. √ 25 = NON-PERFECT SQUARE # EXAMPLES: Between which two consecutive whole numbers do the following #’s fall between? 1. √22 lies between _____ and _____. 2. √54 lies between _____ and _____. 3. √133 lies between _____ and _____. 4. √320 lies between _____ and _____. NAME:__________________________ Math-7 “PRACTICE IT” DATE: ______/_______/_______ Square #’s and Square roots: Find the square root of the following numbers: 1. 25 = __________ 2. 81 = __________ 3. 169 = __________ 4. 49 = __________ 5. 225 = __________ 6. 9 = __________ 7. 36 = __________ 8. 144 = __________ 9. 196 = __________ 11. 289 = __________ 12. 10. 400 = __________ 64 = __________ Between which two consecutive WHOLE numbers do the following #’s fall between?: 13. 14 lies between __________ and __________. 14. 88 lies between __________ and __________. 15. 130 lies between __________ and __________. 16. 32 lies between __________ and __________. Short Answer: 17. Draw a picture that models the following perfect square number: 9 18. Jerry is designing a square patio. The patio has an area of 98 square feet. About how long is each side of the patio? 19. What perfect square # does the square to the right represent? __________ 20. What would its square root be (square to the right)? __________