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Estimating Square Roots We know that a square root of a given number is the number which, when multiplied by itself, results in the given number. For example: 9 3 3 3 A = 9 cm2 = 3 cm Copy the number line from the board. Place each square root on the number line to show its value: 1, 4 , 9 , 16 , 25 Place each square root on the number line to show its approximate value: 2 , 5 , 11, 18 , 24 Estimate the square root of 60. 1) Find the closest perfect square below and above the number. 49 60 64 2) Find the square root of each of those perfect squares. 3) Use a number line to find out how far 60 is from each perfect square. 4) Estimate a decimal by looking at the number line. Estimate the square root of 30. Estimate the square root of 99. Estimate the square root of each to the tenths place 1) 21 3) 75 5) 10 7) 136 9) 48 2) 45 4) 110 6) 2 8) 7 10) 50