Question

need help with simplifying the function in the attachment

Answer 1

distribute the -x thru the paranthesis to get it all into adding

Answer 2

\[(x+\sqrt{x})-x(1+\frac{1}{2} x^{-1/2})\]

Answer 3

\[x+\sqrt{x}-x-\frac{\sqrt{x}}{2}\]if i see it right

Answer 4

but couldn't x-x cancel out and then your left with x^(1/2)-1/2(x)^(1/2)=1/2, right?

Answer 5

yes, all i did was the distribution, the rest is just addition

Answer 6

1 - 1/2 = 1/2; sp i believe it simplifies to: \(\cfrac{\sqrt{2}}{2}\)

Answer 7

where did you get 2^(1/2)/2??