Question

a 5) Media geometrică

URGENT PLS​

Answer 1

x = 2V3 + 3

y = 2V3-3

Mg = V(x ori y) = V(2V3+3)(2V3-3) = V(12-6V3+6V3-9) = V3

Answer 2

$m_g = \sqrt{xy} = \sqrt{(2 \sqrt{3} + 3) \sqrt{(3 - 2 \sqrt{3} ) {}^{2} } } \\ \\ 3 = \sqrt{9} \iff 2 \sqrt{3} = \sqrt{12} \\ \implies \sqrt{(3 - 2 \sqrt{3} ) {}^{2} } = 2 \sqrt{3} - 3 \\ \\ \implies m_g = \sqrt{(2 \sqrt{3} + 3) (2 \sqrt{3} - 3) } \\ m_g =\sqrt{ (2 \sqrt{3} ) {}^{2} - {3}^{2} } \\ m_g= \sqrt{12 - 9} = \bold{\sqrt{3} }$