3 4 18 24
-------- - ---------- + ----------- + ----------- = amplifici cu conjugatul celui de jos
5+2√7 5√2-4√3 3-√6 3√2-2√3 (daca e plus pui minus si invers)
3(5-2√6) 4(5√2+4√3) 18(3+√3) 24(3√2+2√3)
= ----------- - -------------- + -------------- + ------------------ =
5²-(2√6)² (5√2)²-(4√3)² 3²-(√6)² (3√2)²-(2√3)²
3(5-2√6) 4(5√2+4√3) 18(3+√3) 24(3√2+2√3)
= -------------- - ------------------ + --------------- + ------------------ =
25-24 50-48 9-6 18-12
15-6√6 4∦(5√2+4√3) 18∦(3+√3) 24∦(3√2+2√3)
= - ------------------+ -------------- + ------------------- =
2∦ 3 ∦ 6∦
15 - 6√6 - 10√2 - 8√3∦ + 18 + 6√3 +12√2 + 8√3∦=
=33 - 6√6 + 2√2 + 6√3
(∦) =se simplifica
= se reduc
