Question

Fie a = (+) √6-√3. Aflați valoarea de adevăr a expresiei a² EN. uregnt ​

Answer 1

$a = \sqrt{6} - \sqrt{3} \\ a {}^{2} = ( \sqrt{6} - \sqrt{3} ) {}^{2} \\ a {}^{2} =( \sqrt{6} - \sqrt{3} )( \sqrt{6} - \sqrt{3} ) \\ a {}^{2} = \sqrt{6} \sqrt{6} - \sqrt{6} \sqrt{3} - \sqrt{3} \sqrt{6} - \sqrt{3} ( - \sqrt{3} ) \\ a^{2} = 6 - \sqrt{18} - \sqrt{18} + 3 \\ a {}^{2} = 6 - 3 \sqrt{2} - 3 \sqrt{2} + 3 \\ a {}^{2} = 9 - 6 \sqrt{2}$

FALS