Question

urgent cine răspunde dau coroana​

Answer 1

Răspuns:

Explicație pas cu pas:

Media aritmetica

 ma = (a+b)/2

Media geometrica

  mg=$\sqrt{a*b}$

a) ma = (12+75)/2 = 87/2 = 43.5

   mg = $\sqrt{12*75} = \sqrt{900} = 30$

   ma > mg

b) ma = $(6\sqrt2} + 3\sqrt2})/2 = 9\sqrt2} /2$

   mg = $\sqrt{6\sqrt{2} * 3\sqrt{2}} = \sqrt{18\sqrt{4}} = \sqrt{18*2}} = \sqrt{36} = 4$

   ma > mg

c) ma = $(\sqrt5} + \sqrt5})/2 = 2\sqrt5} /2$

   mg = $\sqrt{\sqrt{5} * \sqrt{5}} = \sqrt{\sqrt{25}} = \sqrt{5}$

   ma < mg

d) ma = (0.7+2.8)/2 = 3.5/2 = 1.75

   mg = $\sqrt{0.7*2.8} = \sqrt{1.96}} = 1.4$

   ma > mg

e) ma = $(\sqrt50} + \sqrt2})/2 = (5\sqrt{2} } + \sqrt2})/2 = 6\sqrt2} /2 = 3\sqrt2}$

   mg = $\sqrt{\sqrt{50} * \sqrt{2}} = \sqrt{\sqrt{100}} = \sqrt{10}$

   ma > mg

f)  ma = $(3+\sqrt5} + 3-\sqrt5})/2 = 6/2 = 3$

   mg = $\sqrt{(3+\sqrt{5}) * (3-\sqrt{5})} = \sqrt{3^{2} - \sqrt{5^{2}}}= \sqrt {9 - 5}}}= \sqrt {4}}} = 2$

   ma > mg