Some simple algebra that's bugging me

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    Algebra
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SUMMARY

The discussion focuses on isolating the variable L in the equation 550,000Hz = 1 / (2 π √(L * 1800E-12C)). The correct approach involves manipulating the equation through multiplication and division, ultimately leading to the formula L = (1 / (2π * 550,000))^2 / (1.8E-9). This method effectively eliminates the square root and allows for the accurate calculation of L based on the given frequency and capacitance values.

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550,000Hz = 1 / (2 π √ L*1800E-12C )

I'm trying to isolate for L but I can't seem to do it right.

multiply 550,000 * (2 π √ L*1800E-12 )

then divide 1 by 550,000 and put 4π over it. then square both sides to get ride of the sq. root giving something like..

L = (4π^2 * 1.8E-9C) / 550,000Hz
 
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[tex]550,000=\frac{1}{2\pi\sqrt{L*1.8*10^{-9}}}[/tex]
[tex]\sqrt{L*1.8*10^{-9}}=\frac{1}{2\pi*550,000}[/tex]
[tex]L*1.8*10^{-9}=(\frac{1}{2\pi*550,000})^2[/tex]
[tex]L=\frac{(\frac{1}{2\pi*550,000})^2}{1.8*10^{-9}}[/tex]
 

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