@prefix psr: <http://data.loterre.fr/ark:/67375/PSR> .
@prefix skos: <http://www.w3.org/2004/02/skos/core#> .
@prefix dc: <http://purl.org/dc/terms/> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

psr:-RBFVN7DN-2
  skos:prefLabel "mathematical constant"@en, "constante mathématique"@fr ;
  a skos:Concept ;
  skos:narrower psr:-G77CM1W3-K .

psr:-TT0V0XBL-P
  skos:prefLabel "entier quadratique"@fr, "quadratic integer"@en ;
  a skos:Concept ;
  skos:narrower psr:-G77CM1W3-K .

psr: a skos:ConceptScheme .
psr:-WX8H0134-J
  skos:prefLabel "nombre irrationnel"@fr, "irrational number"@en ;
  a skos:Concept ;
  skos:narrower psr:-G77CM1W3-K .

psr:-G77CM1W3-K
  skos:prefLabel "square root of 5"@en, "racine carrée de cinq"@fr ;
  dc:modified "2024-10-18"^^xsd:date ;
  skos:exactMatch <https://fr.wikipedia.org/wiki/Racine_carr%C3%A9e_de_cinq>, <https://en.wikipedia.org/wiki/Square_root_of₅> ;
  skos:definition """En mathématiques, la <b>racine carrée de cinq</b>, notée  <span class="racine">√<span style="border-top:1px solid; padding:0 0.1em;">5</span></span> ou 5<sup>1/2</sup>, est un nombre réel remarquable ; c'est l'unique réel positif dont le carré est égal à 5. Il vaut approximativement 2,236. C'est un irrationnel quadratique et un entier quadratique (entier algébrique de degré 2). 
<br/>(Wikipedia, L'Encylopédie Libre, <a href="https://fr.wikipedia.org/wiki/Racine_carr%C3%A9e_de_cinq">https://fr.wikipedia.org/wiki/Racine_carr%C3%A9e_de_cinq</a>)"""@fr, """The <b>square root of 5</b> is the positive real number that, when multiplied by itself, gives the prime number 5. It is more precisely called the <b>principal square root of 5</b>, to distinguish it from the negative number with the same property. This number appears in the fractional expression for the golden ratio. It can be denoted in surd form as:  <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\\\\displaystyle {\\\\sqrt {5}}.\\\\,}">   <semantics>     <mrow class="MJX-TeXAtom-ORD">       <mstyle displaystyle="true" scriptlevel="0">         <mrow class="MJX-TeXAtom-ORD">           <msqrt>             <mn>5</mn>           </msqrt>         </mrow>         <mo>.</mo>         <mspace width="thinmathspace"></mspace>       </mstyle>     </mrow>     <annotation encoding="application/x-tex">{\\\\displaystyle {\\\\sqrt {5}}.\\\\,}</annotation>   </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b6ae382f4d989569a43bbe0dd90c447502fed92d" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:4.132ex; height:2.843ex;" alt="\\\\sqrt{5}. \\\\, "></span></dd></dl> It is an irrational algebraic number. The first sixty significant digits of its decimal expansion are:  <dl><dd><span style="white-space:nowrap">2.23606<span style="margin-left:0.25em">79774</span><span style="margin-left:0.25em">99789</span><span style="margin-left:0.25em">69640</span><span style="margin-left:0.25em">91736</span><span style="margin-left:0.25em">68731</span><span style="margin-left:0.25em">27623</span><span style="margin-left:0.25em">54406</span><span style="margin-left:0.25em">18359</span><span style="margin-left:0.25em">61152</span><span style="margin-left:0.25em">57242</span><span style="margin-left:0.25em">7089...</span></span> (sequence A002163 in the OEIS).</dd></dl> which can be rounded down to 2.236 to within 99.99% accuracy. The approximation <style data-mw-deduplicate="TemplateStyles:r1050945101">.mw-parser-output .sfrac{white-space:nowrap}.mw-parser-output .sfrac.tion,.mw-parser-output .sfrac .tion{display:inline-block;vertical-align:-0.5em;font-size:85%;text-align:center}.mw-parser-output .sfrac .num,.mw-parser-output .sfrac .den{display:block;line-height:1em;margin:0 0.1em}.mw-parser-output .sfrac .den{border-top:1px solid}.mw-parser-output .sr-only{border:0;clip:rect(0,0,0,0);height:1px;margin:-1px;overflow:hidden;padding:0;position:absolute;width:1px}</style><span role="math" class="sfrac tion"><span class="num">161</span><span class="sr-only">/</span><span class="den">72</span></span> (≈ 2.23611) for the square root of five can be used. Despite having a denominator of only 72, it differs from the correct value by less than <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1050945101"><span role="math" class="sfrac tion"><span class="num">1</span><span class="sr-only">/</span><span class="den">10,000</span></span> (approx. <span class="nowrap"><span data-sort-value="6995430000000000000♠"></span>4.3<span style="margin-left:0.25em;margin-right:0.15em;">×</span>10<sup>−5</sup></span>). As of January 2022, its numerical value in decimal has been computed to at least 2,250,000,000,000 digits. 
<br/>(Wikipedia, The Free Encyclopedia, <a href="https://en.wikipedia.org/wiki/Square_root_of₅">https://en.wikipedia.org/wiki/Square_root_of₅</a>)"""@en ;
  dc:created "2023-08-03"^^xsd:date ;
  skos:broader psr:-TT0V0XBL-P, psr:-WX8H0134-J, psr:-RBFVN7DN-2 ;
  skos:inScheme psr: ;
  a skos:Concept .