what is square root of 4096
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Answer:
64
Value of √4096 by Long Division Method
Explanation:
- Forming pairs: 40 and 96
- Find a number Y (6) such that whose square is <= 40. Now divide 40 by 6 with quotient as 6.
- Bring down the next pair 96, to the right of the remainder 4. The new dividend is now 496.
- Add the last digit of the quotient (6) to the divisor (6) i.e. 6 + 6 = 12. To the right of 12, find a digit Z (which is 4) such that 12Z × Z <= 496. After finding Z, together 12 and Z (4) form a new divisor 124 for the new dividend 496.
- Divide 496 by 124 with the quotient as 4, giving the remainder = 496 - 124 × 4 = 496 - 496 = 0.
- We stop the process since the remainder is now 0 and there are no more digits that can be brought down.
Therefore, the square root of 4096 by long division method is 64.
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