Square Root of Number Plus or Minus Square Root/Examples
Jump to navigation
Jump to search
Examples of Use of Square Root of Number Plus or Minus Square Root
| \(\ds \sqrt {2 - \sqrt 3}\) | \(=\) | \(\ds \sqrt {\dfrac {2 + \sqrt {2^2 - 3} } 2} - \sqrt {\dfrac {2 - \sqrt {2^2 - 3} } 2}\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds \sqrt {\dfrac 3 2} - \sqrt {\dfrac 1 2}\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds \dfrac {\sqrt 3 - 1} {\sqrt 2}\) |
| \(\ds \sqrt {3 - \sqrt 8}\) | \(=\) | \(\ds \sqrt {\dfrac {3 + \sqrt {3^2 - 8} } 2} - \sqrt {\dfrac {3 - \sqrt {3^2 - 8} } 2}\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds \sqrt {\dfrac 4 2} - \sqrt {\dfrac 2 2}\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds \sqrt 2 - 1\) |