Square root: Difference between revisions
From Elliptic Curve Crypto
how-to |
square root by hand |
||
| Line 1: | Line 1: | ||
<math>\begin{array}{ | :<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& | \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> | ||
:<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
- .
- ↑ 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
