Question

30)Calculati:
a) [tex]( \sqrt{5} - \sqrt{2} )^{2} + 2\sqrt{2} ( \sqrt{5} - \sqrt{2} )=
[/tex]

P.S= Raspunsul final trebuie sa fie 3

Answer 1

(√5 - √2) ^2 + 2√2(√5 - √2) = 
= 5 - 2√10 + 2 + 2√10 - 4 = 
= 5 + 2 - 4 - 2√10 + 2√10 = 
= 3 - 0 = 
= 3

Answer 2

$( \sqrt{5} - \sqrt{2} )^2+2 \sqrt{2} ( \sqrt{5} - \sqrt{2} )= \\ = \sqrt{5^2} -2 \cdot \sqrt{5} \cdot \sqrt{2} + \sqrt{2^2} +2 \sqrt{10} -4= \\ =5-2 \sqrt{10} +2+2 \sqrt{10} -4= \\ =5+2-4= \\ =7-4= \\ =3$