Question

Stabiliti daca rezultatul calculului x+y+z este numar intreg in fiecare dintre situatiile urmatoare:
a)a=4√2+3√3,b=3√3-√2,c=-6√3-3√2
a+b+c=…
b)a=7-5√10,b=2√5+9√10,c=6-4√10-2√5
a+b+c=…

Answer 1

$a).a=4 \sqrt{2} +3 \sqrt{3} \\ b=3 \sqrt{3} - \sqrt{2} \\ c=-6 \sqrt{3} -3 \sqrt{2} \\ a+b+c=4 \sqrt{2} +3 \sqrt{3} +3 \sqrt{3} - \sqrt{2} -6 \sqrt{3} -3 \sqrt{2} =0 \\ b).a=7-5 \sqrt{10} \\ b=2 \sqrt{5} +9 \sqrt{10} \\ c=6-4 \sqrt{10} -2 \sqrt{5} \\ a+b+c=7-5 \sqrt{10} +2 \sqrt{5} +9 \sqrt{10} +6-4 \sqrt{10} -2 \sqrt{5} =13$