Question

Calculaţi folosind formulele de calcul prescurtat:
a)
(√3+2√2)+(3√3-√2)-(√3-√2)(√3+√2)+2√6;

Answer 1

Explicație pas cu pas:

$(a - b)(a + b) = {a}^{2} - {b}^{2}$

→

$( \sqrt{3} +2 \sqrt{2} )+(3 \sqrt{3} - \sqrt{2} )-( \sqrt{3} - \sqrt{2} )( \sqrt{3} + \sqrt{2} )+2 \sqrt{6} = \\ = \sqrt{3} +2 \sqrt{2} + 3 \sqrt{3} - \sqrt{2} - (3 - 2) + 2 \sqrt{6} \\ = 4 \sqrt{3} + \sqrt{2} - 1 + 2 \sqrt{6}$