[Set 1,225 on Mr. Square root]Zoom
[Japanese]
We will continue from where we ended in the last article, the article shows actual solutions to calculate Square root using abacus. Today's example is simple - basic Double-root method, root is 2-digits case. Please check the Theory page for your reference.
Square root methods: Double-root method, Double-root alternative method, half-multiplication table method, half-multiplication table alternative method, multiplication-subtraction method, constant number method, etc.
Abacus steps to solve Square root of 1,225 (Answer is 35)
"1st group number" is the left most numbers in the 2-digits groups of the given number for square root calculation. Number of groups is the number of digits of the Square root.
1,225 -> (12|25) : 12 is the 1st group number. The root digits is 2.
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Step 1: Set 1225. 1st group is 12.
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Step 2: Square number less than or equal 12 is 9=3x3. 3 is the 1st root.
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Step 3: Subtract 3x3 from the 1st group 12. 12-9=3 : -a^2
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Step 4: Place 6 which is 2x of 1st root 3. This 6 is double root.
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Step 5: Divide 325 (FGH) by 6. Answer=5 and this is 2nd root (E). : /2a
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Step 6: Subtract 6x5=30 from 32. : -2ab
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Step 7: Subtract 5x5=25 from 2nd group 25. 25-25=0 : -b^2
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Step 8: Square root of 1225 is 35.
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Final state: Answer 35
Abacus state transition. (Click to Zoom)
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Next article is also about Double-root method.
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
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[Japanese]
We will continue from where we ended in the last article, the article shows actual solutions to calculate Square root using abacus. Today's example is simple - basic Double-root method, root is 2-digits case. Please check the Theory page for your reference.
Square root methods: Double-root method, Double-root alternative method, half-multiplication table method, half-multiplication table alternative method, multiplication-subtraction method, constant number method, etc.
Abacus steps to solve Square root of 1,225 (Answer is 35)
"1st group number" is the left most numbers in the 2-digits groups of the given number for square root calculation. Number of groups is the number of digits of the Square root.
1,225 -> (12|25) : 12 is the 1st group number. The root digits is 2.
Step 1: Set 1225. 1st group is 12.
Step 2: Square number less than or equal 12 is 9=3x3. 3 is the 1st root.
Step 3: Subtract 3x3 from the 1st group 12. 12-9=3 : -a^2
Step 4: Place 6 which is 2x of 1st root 3. This 6 is double root.
Step 5: Divide 325 (FGH) by 6. Answer=5 and this is 2nd root (E). : /2a
Step 6: Subtract 6x5=30 from 32. : -2ab
Step 7: Subtract 5x5=25 from 2nd group 25. 25-25=0 : -b^2
Step 8: Square root of 1225 is 35.
Final state: Answer 35
Abacus state transition. (Click to Zoom)
Next article is also about Double-root method.
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
Please place your mouse on the buttons and click one by one. These are blog ranking sites.
