Question

|2radical din 3 + radical din 5 | si | radical din 5 - 2radical din 3


trebuie media aritmetica si geometrica

Answer 1

$\displaystyle |2 \sqrt{3} + \sqrt{5} |=2 \sqrt{3} + \sqrt{5} \\ | \sqrt{5} -2 \sqrt{3} |=2 \sqrt{3} - \sqrt{5} \\ m_g= \sqrt{(2 \sqrt{3} + \sqrt{5} )(2 \sqrt{3} - \sqrt{5} )} = \sqrt{12-5} = \sqrt{7} \\ m_a= \frac{2 \sqrt{3} + \sqrt{5} +2 \sqrt{3} - \sqrt{5} }{2} = \frac{\not4 \sqrt{3} }{\not2} =2 \sqrt{3}$