Mr.Calculator
[Japanese]
I explained how to calculate N-th root using calculator with [SQRT] key in the previous article. You can also calculate N-th root using calculator WITHOUT [SQRT] key. Following is the method how to do it
This is the calculator of the Mr.Calculator abacus.
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As shown above, Memory Clear is assigned to [CM] key and Memory Read (Recall) key is assigned to [RM] key. In this article we use [MC] and [MR] respectively as used by the standard calculator.
Some calculator has [MRC] key instead of [MC] and [MR] key. If you press [MRC] key once, it means [MR] and If you press [MRC] key twice, it means [MC].
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For example, 4th root is calculated by Square root twice and 6th root is calculated by multiplication of square root and cube root. It is enough to know the calculation method of N-th root where N is prime number greater than 1.
Note that [/] is the Division key in the explanation below.
2nd root of A (Square root)
Input approximate value of 2nd root of A.
[MC][M+]A
[/][MR] Enter 1 time.
[=]
[+][MR] Enter 1 time
[=][/][2][=]
Repeat from the line [MC] until value does not change.
3rd root of A (Cube root)
Input approximate value of 3rd root of A.
[MC][M+]A
[/][MR] Enter 2 times
[=]
[+][MR] Enter 2 times.
[=][/][3][=]
Repeat from the line [MC] until value does not change.
5th root of A
Input approximate value of 5th root of A.
[MC][M+]A
[/][MR] Enter 4 times.
[=]
[+][MR] Enter 4 times.
[=][/][5][=]
Repeat from the line [MC] until value does not change.
7th root of A
Input approximate value of 7th root of A.
[MC][M+]A
[/][MR] Enter 6 times.
[=]
[+][MR] Enter 6 times.
[=][/][7][=]
Repeat from the line [MC] until value does not change.
11th root of A
Input approximate value of 11th root of A.。
[MC][M+]A
[/][MR] Enter 10 times.
[=]
[+][MR] Enter 10 times.
[=][/][11][=]
Repeat from the line [MC] until value does not change.
13th root of A
Input approximate value of 13th root of A.
[MC][M+]A
[/][MR] Enter 12 times.
[=]
[+][MR] Enter 12 times.
[=][/][13][=]
Repeat from the line [MC] until value does not change.
You can apply to all N where N is the natural numbers greater than 1.
N-th root of A
Input approximate value of N-th root of A.
[MC][M+]A
[/][MR] Enter N-1 times.
[=]
[+][MR] Enter N-1 times.
[=][/][N][=]
Repeat from the line [MC] until value does not change.
Let's confirm the methods with actual value. I show you only value transition and the value calculated with iPhone's scientific calculator.
2nd root of 10 (Square root of 10)
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3rd root of 10 (Cube root of 10)
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5th root of 10
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7th root of 10
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11th root of 10
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13th root of 10
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This method is simple and value converges fast.
Related articles:
How to solve Cube root of 1729.03 using abacus? (Feynman v.s. Abacus man)
http://blog.goo.ne.jp/ktonegaw/e/cff5d6e7ecaa07230b9cc7af10b23aed
Index: Square root and Cube root using Abacus
http://blog.goo.ne.jp/ktonegaw/e/f62fb31b6a3a0417ec5d33591249451b
Please place your mouse on the buttons and click one by one. These are blog ranking sites.
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[Japanese]
I explained how to calculate N-th root using calculator with [SQRT] key in the previous article. You can also calculate N-th root using calculator WITHOUT [SQRT] key. Following is the method how to do it
This is the calculator of the Mr.Calculator abacus.
As shown above, Memory Clear is assigned to [CM] key and Memory Read (Recall) key is assigned to [RM] key. In this article we use [MC] and [MR] respectively as used by the standard calculator.
Some calculator has [MRC] key instead of [MC] and [MR] key. If you press [MRC] key once, it means [MR] and If you press [MRC] key twice, it means [MC].
For example, 4th root is calculated by Square root twice and 6th root is calculated by multiplication of square root and cube root. It is enough to know the calculation method of N-th root where N is prime number greater than 1.
Note that [/] is the Division key in the explanation below.
2nd root of A (Square root)
Input approximate value of 2nd root of A.
[MC][M+]A
[/][MR] Enter 1 time.
[=]
[+][MR] Enter 1 time
[=][/][2][=]
Repeat from the line [MC] until value does not change.
3rd root of A (Cube root)
Input approximate value of 3rd root of A.
[MC][M+]A
[/][MR] Enter 2 times
[=]
[+][MR] Enter 2 times.
[=][/][3][=]
Repeat from the line [MC] until value does not change.
5th root of A
Input approximate value of 5th root of A.
[MC][M+]A
[/][MR] Enter 4 times.
[=]
[+][MR] Enter 4 times.
[=][/][5][=]
Repeat from the line [MC] until value does not change.
7th root of A
Input approximate value of 7th root of A.
[MC][M+]A
[/][MR] Enter 6 times.
[=]
[+][MR] Enter 6 times.
[=][/][7][=]
Repeat from the line [MC] until value does not change.
11th root of A
Input approximate value of 11th root of A.。
[MC][M+]A
[/][MR] Enter 10 times.
[=]
[+][MR] Enter 10 times.
[=][/][11][=]
Repeat from the line [MC] until value does not change.
13th root of A
Input approximate value of 13th root of A.
[MC][M+]A
[/][MR] Enter 12 times.
[=]
[+][MR] Enter 12 times.
[=][/][13][=]
Repeat from the line [MC] until value does not change.
You can apply to all N where N is the natural numbers greater than 1.
N-th root of A
Input approximate value of N-th root of A.
[MC][M+]A
[/][MR] Enter N-1 times.
[=]
[+][MR] Enter N-1 times.
[=][/][N][=]
Repeat from the line [MC] until value does not change.
Let's confirm the methods with actual value. I show you only value transition and the value calculated with iPhone's scientific calculator.
2nd root of 10 (Square root of 10)
3rd root of 10 (Cube root of 10)
5th root of 10
7th root of 10
11th root of 10
13th root of 10
This method is simple and value converges fast.
Related articles:
How to solve Cube root of 1729.03 using abacus? (Feynman v.s. Abacus man)
http://blog.goo.ne.jp/ktonegaw/e/cff5d6e7ecaa07230b9cc7af10b23aed
Index: Square root and Cube root using Abacus
http://blog.goo.ne.jp/ktonegaw/e/f62fb31b6a3a0417ec5d33591249451b
Please place your mouse on the buttons and click one by one. These are blog ranking sites.
