Question

Calculati media geometrica a numerelor:
a) √14 si √56
b) 13-√69 si 13+√69
c) 10√2-√7 supra 8 si √200+√7 supra 2
d)5√2+3√18-2√50 si 6√2 supra 3 + √98 supra 5

Va rog am nevoie urgent pana maine

Answer 1

a) $\sqrt{( \sqrt{14} ) ^{2} *( \sqrt{56} ) ^{2}}= \sqrt{14*56} = \sqrt{2*7*7*2 ^{3} } =7*4=28$
b) $\sqrt{(13- \sqrt{69} ) ^{2} * (13+ \sqrt{69}) ^{2} } = \sqrt{(13 ^{2} -69) ^{2} } =13 ^{2} -69=169-69$
c) $\sqrt{ (\frac{10 \sqrt{2}- \sqrt{7}}{8} ) ^{2} *( \frac{ \sqrt{200} + \sqrt{7} }{2} ) ^{2} } =$
$\sqrt{ \frac{(200- 7)^{2}}{8^{2}*2^{2}} } =\frac{193}{8*2}$