Question

Media geometrica a numerelor .
a egal cu ( v5 plus v3 ) la patrat
b egal cu( v5 - v3) la patrat
v - este radical

Answer 1

$a = {( \sqrt{5} + \sqrt{3} )}^{2}$

$b = {( \sqrt{5} - \sqrt{3} ) }^{2}$

$mg = \sqrt{( { \sqrt{5} + \sqrt{3} )}^{2} \times {( \sqrt{5} - \sqrt{3} ) }^{2} }$

$mg = \sqrt{(5 + 2 \sqrt{15} + 3)(5 - 2 \sqrt{15} + 3) }$

$mg = \sqrt{(8 + 2 \sqrt{15} )(8 - 2 \sqrt{15}) }$

$mg = \sqrt{ {8}^{2} - {(2 \sqrt{15}) }^{2} }$

$mg = \sqrt{64 - 60}$

$mg = \sqrt{4}$

$mg = 2$