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Math Help - Simplification

  1. #1
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    Simplification

    How do you simplify this if possible

     6sh-\frac{3}{2}(s^2)(0.707)+(\frac{3s^2\sqrt3}{2})(1.2  2)

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  2. #2
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    e^(i*pi)'s Avatar
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    0.707 \approx \dfrac{\sqrt{2}}{2} so I don't know if the problem was originally \dfrac{\sqrt2}{2}

    If so: 6sh - \dfrac{3\sqrt2}{2}~s^2 + \dfrac{3.66\sqrt3}{2} s^2

    Combining like terms: \left(\dfrac{3.66\sqrt3 - 3\sqrt2}{2}\right) s^2 + 6sh

    You can factor out an s: 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
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  3. #3
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    Quote Originally Posted by wair View Post
    How do you simplify this if possible
     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
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