What is the method of finding square root of 123454321 without actual calculation?

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Whenever u see such figure like 121,12321,1234321,123454321, and so on...just see the highest value u could see in the figure...like in this examples 5 is the highest value...so just write 1 five times...ie.. 11111 .its is the square root of 123454321. Similarly 11 for 121,111 for 12321 and so on. Hope...
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Whenever u see such figure like 121,12321,1234321,123454321, and so on...just see the highest value u could see in the figure...like in this examples 5 is the highest value...so just write 1 five times...ie.. 11111 .its is the square root of 123454321. Similarly 11 for 121,111 for 12321 and so on. Hope you are clear now. read less
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Maths, Engineering and Basketball. Let's do it.

11111 Applicable for this series
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We need to understand pattern of numbers and their squares. No and Square follow this pattern. 1 - 1 11- 121 111- 12321 1111- 1234321 11111- 123454321 Without calculations we can find square root by this method.
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11111
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These type of numbers are called palindromic numbers.. Since the number has starded with 1 so the initial number of the square root will be one and the last number is also 1 so the last number of the square root will also be 1. Now let us cont the max number in the palindrome i.e. 5 so the number will...
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These type of numbers are called palindromic numbers.. Since the number has starded with 1 so the initial number of the square root will be one and the last number is also 1 so the last number of the square root will also be 1. Now let us cont the max number in the palindrome i.e. 5 so the number will contain 5 one's as its square root . So the anwser is 11111. For enhancing ur knowledge please read TAMARA KLEOK's philosophy of palindromic numbers. Hope you find this helpful... read less
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Math Educator for Std.11th ,12th , Engineering Entrance and Degree Level with 11+ Years Experience

11111
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On Abacus the method which I use leads me to the answer which is 11111
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