Aqbeż għall-kontenut ewlieni
Evalwa
Tick mark Image

Problemi Simili mit-Tiftix tal-Web

Sehem

\frac{2\sqrt{3}\left(7-\sqrt{6}\right)}{\left(7+\sqrt{6}\right)\left(7-\sqrt{6}\right)}
Irrazzjonalizza d-denominatur tal-\frac{2\sqrt{3}}{7+\sqrt{6}} billi timmultiplika in-numeratur u d-denominatur mill-7-\sqrt{6}.
\frac{2\sqrt{3}\left(7-\sqrt{6}\right)}{7^{2}-\left(\sqrt{6}\right)^{2}}
Ikkunsidra li \left(7+\sqrt{6}\right)\left(7-\sqrt{6}\right). Il-multiplikazzjoni tista' tiġi ttrasformata fid-differenza tal-kwadrati li jużaw ir-regola: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
\frac{2\sqrt{3}\left(7-\sqrt{6}\right)}{49-6}
Ikkwadra 7. Ikkwadra \sqrt{6}.
\frac{2\sqrt{3}\left(7-\sqrt{6}\right)}{43}
Naqqas 6 minn 49 biex tikseb 43.
\frac{14\sqrt{3}-2\sqrt{3}\sqrt{6}}{43}
Uża l-propjetà distributtiva biex timmultiplika 2\sqrt{3} b'7-\sqrt{6}.
\frac{14\sqrt{3}-2\sqrt{3}\sqrt{3}\sqrt{2}}{43}
Iffattura 6=3\times 2. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{3\times 2} bħala l-prodott tal-għeruq kwadrati \sqrt{3}\sqrt{2}.
\frac{14\sqrt{3}-2\times 3\sqrt{2}}{43}
Immultiplika \sqrt{3} u \sqrt{3} biex tikseb 3.
\frac{14\sqrt{3}-6\sqrt{2}}{43}
Immultiplika -2 u 3 biex tikseb -6.