# Simplification

• Dec 1st 2010, 05:02 AM
wair
Simplification
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
• Dec 1st 2010, 05:13 AM
e^(i*pi)
$\displaystyle 0.707 \approx \dfrac{\sqrt{2}}{2}$ 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
• Dec 1st 2010, 05:52 AM
Wilmer
Quote:

Originally Posted by wair
How do you simplify this if possible
$\displaystyle 6sh-\frac{3}{2}(s^2)(0.707)+(\frac{3s^2\sqrt3}{2})(1.2 2)$

A kinda "exotic" performance(!):
Multiply by 2:
12sh - 3(.707)s^2 + 3(1.22)(sqrt(3))s^2
Divide by 3s:
4h - .707s + (1.22)(sqrt(3))s
Multiply by 1000:
4000h - 707s +1220(sqrt(3))s
Re-arrange:
s(1220sqrt(3) - 707) + 4000h