Question

aratati ca nr a=(√3+√2) *(5-√6)+(√2 -1)la puterea2 -3√3 este natural

Answer 1

$( \sqrt{3}+ \sqrt{2} )*(5- \sqrt{6} )+( \sqrt{2} -1)^2-3 \sqrt{3} = \\ 5 \sqrt{3} - \sqrt{18} +5 \sqrt{2} - \sqrt{12} +2-2 \sqrt{2} -1-3 \sqrt{3} = \\ 5 \sqrt{3} -3 \sqrt{2}+5 \sqrt{2} -2 \sqrt{3} +1-2 \sqrt{2} -3 \sqrt{3} = \\ =1$