Question

Упростите выражение ((2√a +1-a^(-1/2))÷(2√a -1))-1

Answer 1

1)2√a+1-1/√a=(2a+√a-1)/√a
2)(2a+√a-1)/√a :(2√a-1)=(2a+√a-1)/[√a(2√a-1)]
3)(2a+√a-1)/[√a(2√a-1)] -1=(2a+√a-1-2a+√a)/[√a(2√a-1)]=
=(2√a-1)/[√a(2√a-1)]=1/√a