Square root: Difference between revisions

From Elliptic Curve Crypto
how-to
 
square root by hand
Line 1: Line 1:
<math>\begin{array}{r|rrr}
:<math>\begin{array}{rrr|rrr}
& 2&5&\\ \hline
&&& 2&5&6\\ \hline
\sqrt{} & 6 & 55 & 36  \\
&&\sqrt{} & 6 & 55 & 36  \\
\underline 2\times \underline 2=4&-4 &\downarrow& \\ \hline
\underline 2\times \underline 2&=&4&-4 &\downarrow&\downarrow \\ \hline
& 2 & 55 & \\
2\times 2 &=&4~~ & 2 & 55 &\downarrow\\
4\underline 5\times\underline 5 = 225 & -2 & 25 &\downarrow \\ \hline
4\underline 5\times\underline 5 &=& 225 &-2 & 25 &\downarrow \\ \hline
& & 30 & 36
25\times 2&=&50~~&& 30 & 36 \\
50\underline6\times\underline6 &=& 3036&&-30&36\\ \hline
&&&&&0
\end{array}
\end{array}
</math>
</math>


to be continued <ref>Wikihow:  How to Calculate a Square Root by Hand: Method 2: Finding Square Roots Manually https://www.wikihow.com/Calculate-a-Square-Root-by-Hand#Finding-Square-Roots-Manually</ref>
:<math>\sqrt{65536}=256</math>
 
The method  <ref>Wikihow:  How to Calculate a Square Root by Hand: Method 2: Finding Square Roots Manually https://www.wikihow.com/Calculate-a-Square-Root-by-Hand#Finding-Square-Roots-Manually</ref> is based on the identity
 
:<math>(10x+y)^2=100x^2 + 20xy + y^2</math>.

Revision as of 06:01, 25 December 2024

The method [1] is based on the identity

.
  1. Wikihow: How to Calculate a Square Root by Hand: Method 2: Finding Square Roots Manually https://www.wikihow.com/Calculate-a-Square-Root-by-Hand#Finding-Square-Roots-Manually