Solve for F R = square root of (GmK)/F

Math
R=GmKF
Rewrite the equation as GmKF=R.
GmKF=R
To remove the radical on the left side of the equation, square both sides of the equation.
GmKF2=R2
Simplify each side of the equation.
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Multiply the exponents in ((GmKF)12)2.
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Apply the power rule and multiply exponents, (am)n=amn.
(GmKF)12⋅2=R2
Cancel the common factor of 2.
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Cancel the common factor.
(GmKF)12⋅2=R2
Rewrite the expression.
(GmKF)1=R2
(GmKF)1=R2
(GmKF)1=R2
Simplify.
GmKF=R2
GmKF=R2
Solve for F.
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Multiply each term by F and simplify.
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Multiply each term in GmKF=R2 by F.
GmKF⋅F=R2⋅F
Cancel the common factor of F.
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Cancel the common factor.
GmKF⋅F=R2⋅F
Rewrite the expression.
GmK=R2⋅F
GmK=R2F
GmK=R2F
Rewrite the equation as R2F=GmK.
R2F=GmK
Divide each term by R2 and simplify.
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Divide each term in R2F=GmK by R2.
R2FR2=GmKR2
Cancel the common factor of R2.
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Cancel the common factor.
R2FR2=GmKR2
Divide F by 1.
F=GmKR2
F=GmKR2
F=GmKR2
F=GmKR2
Solve for F R = square root of (GmK)/F

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