Question

fie numerele A=radical din 3-2radical din 2.+ radical din 3 + 2 radical din 2 si B= radical din 12 -6 radical.din 3 + radical.din 12-6 radical.din 3 A,B€ Q

Answer 1

$A=\sqrt{3}-2\sqrt{2}+\sqrt{3}+2\sqrt{2}$

( $-2\sqrt{2}$ si $+2\sqrt{2}$ se reduc)

$A=\sqrt{3}+\sqrt{3}$

$\boxed{A=2\sqrt{3}}$

$B=\sqrt{12}-6\sqrt{3}+\sqrt{12}-6\sqrt{3}$

$B=2\sqrt{12}-12\sqrt{3}$

$B=2\sqrt{2^{2}*3}-12\sqrt{3}$

$B=2*2\sqrt{3}-12\sqrt{3}$

$B=4\sqrt{3}-12\sqrt{3}$

$\boxed{B=-8\sqrt{3}}$