Question

Se dă :
a=3√2+2√5
b=2√5-3√2
Se cere:
a) Ma(a,b)
b)Mg(a,b)

Answer 1

$\displaystyle a=3 \sqrt{2} +2 \sqrt{5} \\ b=2 \sqrt{5} -3 \sqrt{2} \\ \\ m_a= \frac{3 \sqrt{2} +2 \sqrt{5} +2 \sqrt{5} -3 \sqrt{2} }{2} = \frac{4 \sqrt{5} }{2} =2 \sqrt{5} \\ \\ m_g= \sqrt{(3 \sqrt{2} +2 \sqrt{5} )(2 \sqrt{5} -3 \sqrt{2} )} = \sqrt{6 \sqrt{10} -18+20-6 \sqrt{10} } = \sqrt{2}$