1. Find the square root of 144 by the method of repeated subtraction.

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The method of repeated subtraction involves finding the square root of a number by repeatedly subtracting consecutive odd numbers until the result is zero. Here's how you can apply this method to find the square root of 144: Start with the number for which you want to find the square root, in this...
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The method of repeated subtraction involves finding the square root of a number by repeatedly subtracting consecutive odd numbers until the result is zero. Here's how you can apply this method to find the square root of 144: Start with the number for which you want to find the square root, in this case, 144. Begin subtracting consecutive odd numbers starting from 1 until you reach zero. 144−1=143144−1=143 143−3=140143−3=140 140−5=135140−5=135 135−7=128135−7=128 128−9=119128−9=119 119−11=108119−11=108 108−13=95108−13=95 95−15=8095−15=80 80−17=6380−17=63 63−19=4463−19=44 44−21=2344−21=23 23−23=023−23=0 Count the number of times you subtracted, which is 12 in this case. The square root of 144 is the number of times you subtracted, divided by 2 (since each subtraction represents two factors). Therefore, the square root of 144 is 144=122=6144=212=6. So, the square root of 144 by the method of repeated subtraction is 6. read less
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