Question

Calculati:
(√2-√3)²-(√2-√1)(√2+√1)+√24
Va rog mult
AJUTOR

Answer 1

${( \sqrt{2} - \sqrt{3} )}^{2} - ( \sqrt{2} - \sqrt{1} )( \sqrt{2} + \sqrt{1} ) + \sqrt{24}$

$= 2 - 2 \sqrt{6} + 3 - ( \sqrt{2} - 1)( \sqrt{2} + 1) + 2 \sqrt{6}$

$= - 2 \sqrt{6} + 2 \sqrt{6} + 2 + 3 - (2 - 1)$

$= 5 - 1$

$= 4$