Question

a=6+radical din 11
b=6-radical din 11
Calculati;
(a-b-1-2radical din 11)^2018

Answer 1

$a = 6 + \sqrt{11}$

$b = 6 - \sqrt{11}$

${(a - b - 1 - 2 \sqrt{11} )}^{2018}$

$= {[6 + \sqrt{11} - ( 6- \sqrt{11} ) - 1 - 2 \sqrt{11} ]}^{2018}$

$= {(6 + \sqrt{11} - 6 + \sqrt{11} - 1 - 2 \sqrt{11}) }^{2018}$

$= {(6 - 6 + \sqrt{11} + \sqrt{11} - 2 \sqrt{11} - 1 )}^{2018}$

$= {(2 \sqrt{11} - 2 \sqrt{11} - 1)}^{2018}$

$= {( - 1)}^{2018}$

$= 1$