How do you simplify this if possible
$\displaystyle 6sh-\frac{3}{2}(s^2)(0.707)+(\frac{3s^2\sqrt3}{2})(1.2 2) $
Thank You
$\displaystyle 0.707 \approx \dfrac{\sqrt{2}}{2}$ so I don't know if the problem was originally $\displaystyle \dfrac{\sqrt2}{2}$
If so: $\displaystyle 6sh - \dfrac{3\sqrt2}{2}~s^2 + \dfrac{3.66\sqrt3}{2} s^2$
Combining like terms: $\displaystyle \left(\dfrac{3.66\sqrt3 - 3\sqrt2}{2}\right) s^2 + 6sh$
You can factor out an s: $\displaystyle s\left[\left(\dfrac{3.66\sqrt3 - 3\sqrt2}{2}\right) s + 6h\right]$
You could multiply out but if the ultimate objective is to solve for s it's counter-productive