Question

Sa se arate ca numarul : -4+√(tot)1/2(1/0,3(7):1/340-1/0,01) este un numar natural patrat perfect.

Answer 1

-4+√[1/2(1/0,3(7):1/340-1/0,01) ]=
0,3(7)=(37-3)/90=34/90
=-4+√[1/2(1/(34/90):1/340-100) ]=
=-4+√(1/2(90/34x340-100) =
=-4+√(1/2(900-100)=
=-4+√(1/2x800) =
=-4+√400 =
=-4+20 =
=16=
=4²