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Question

Find the square root of 64 by repeated subtraction method.


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Solution

Finding the square root using repeated subtraction method

To find the square root of 64 by repeated subtraction, we have to subtract successive odd numbers starting from 1 to 64 until we get the result 0. The number of steps required to obtain the result 0 is the square root of the given number.

641=63633=60605=55557=48489=393911=282813=1515-15=0

Thus, starting from 64, we have subtracted 8 times to obtain 0.

Therefore, the square root of 64 is 8.


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