Question

Calculați :
| $\sqrt{5}$ x ( 6 - 8,15 ) | + | ( $\sqrt{3}$ - $\sqrt{5}$ )$)^2}$ |

Answer 1

 [tex]|\;\sqrt5\cdot(-2,15)\;|+|\;3-2\sqrt{3\cdot5}+5\;|=\;\;\;\;\;\;\;\;\; !\;(\;\sqrt5\approx2,24\;;\;\sqrt15\approx3,87)\\ =| -4,816\;|+|\;8-2\cdot3,87\;|= 4,816+0,26=5,076\approx5\;;[/tex]

Answer 2

$| \sqrt{5} \times(6-8,15)|+| ( \sqrt{3} - \sqrt{5} )^2|= \\ = | \sqrt{5} \times (-2,15)|+| \sqrt{3} ^2-2 \times \sqrt{3} \times \sqrt{5} + \sqrt{5} ^2|= \\ =|-2,15 \sqrt{5} |+|3-2 \sqrt{15} +5|= \\ =2,15 \sqrt{5} +|8-2 \sqrt{15} |=2,15 \sqrt{5} +8-2 \sqrt{15} = \\ =4,80754+8-7,74596=5,06158$