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Question

Find the square root of 8281 by division method

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Solution

Procedure to find square root of 8281 by division method:

Step 1: start by making the pair of two digits in a number from right to left.
8281 will be written as 82 81

Step 2: Now starting from the left find the largest number which when multiplied by itself will give a product less than or equal to the number.

Step 3: Subtract the product of the number in the quotient and divisor place from the number in the dividend place. Then add the number on the quotient place to the number in the divisor side

Step4: Now bring down the next pair of digits. Now find 'something' -single digit, so that the product of the new divisor and this digit is equal to or just less than the new dividend.
Continue the process till you find the answer.


9 | 82 81 | 91
+ 9 | 81
-----------------
181 | 1 81
1 | 1 81
-------------------
xxx

therefore √8281 = 91

Ans. 91




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