## Thursday, February 08, 2007

### Question 4 Pre-test

4) What is the Square root of the following numbers. Use your perfect square chart and fractions. Do not use a calculator.
Square Root of 27, 46, 72, 115.

To find out the square root of a number, you must first find the closest perfect square. Next, find out what the side is of that perfect square. That will be your whole number. Next, count how many numbers there are between the first perfect square and the next perfect square. This will be the denominator for the extra bit that will be on the end. Then count how far your number is between the corresponding perfect squares and that wil be your numerator. The answer should look like 36 10/13. That's not actually one of the answers but just an example. See below for answers.

25 26 27 28 29 30 31 32 33 34 35 36 25
√=5 36-25=12 27-25=2

27=5 2/11

36 37 38 39 40 41 42 43 44 45 46 47 48 49
36 √ 6 49-36=13 46-36=10

46= 6 10/13

64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 64
√ 8 81-64=17 72-64=8

72=8 10/17

100101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121

100
√ 10 121-100=21 115-100=15

115=10 15/21