Question

stiind ca x=3-radical din 5
y=3+4radical din 5 calculeaza Mg si Ma

Answer 1

$x = 3 - \sqrt{5}$

$y = 3 + 4 \sqrt{5}$

$mg = \sqrt{xy}$

$mg = \sqrt{(3 - \sqrt{5})(3 + 4 \sqrt{5)} }$

$mg = \sqrt{9 + 12 \sqrt{5} - 3 \sqrt{5} - 20}$

$mg = \sqrt{9 \sqrt{5} - 11}$

$ma = \frac{x + y}{2}$

$ma = \frac{3 - \sqrt{5} + 3 + 4 \sqrt{5} }{2}$

$ma = \frac{3 \sqrt{5} + 6 }{2}$

$ma = \frac{3( \sqrt{5} + 2)}{2}$