Answer
$6.0025$
Work Step by Step
The expression for $y$ can be written as: $y=x^{0.5}$
Now, $\dfrac{dy}{dx}=0.5x^{-0.5}$
$dy=0.5x^{-0.5} dx$
Next, we have: $dy=0.5 \times (36)^{-0.5}(0.03)=0.0025$
So, the new $y$ value is equal to $0.0025+(36)^{0.5}=6.0025$