\(T=\frac12\sqrt{\frac{u}{g}}\)
Multiply both sides of the equation by 2 .
\(2T=\sqrt{\frac{u}{g}}\)
Square both sides of the equation.
\((2T)^2=\frac{u}{g} \\~\\ (2T)(2T)=\frac{u}{g} \\~\\ 4T^2=\frac{u}{g} \)
Multiply both sides by g .
\(g\cdot4T^2=u\)
Divide both sides by 4T2
\(g=\frac{u}{4T^2}\)
\(T=\frac12\sqrt{\frac{u}{g}}\)
Multiply both sides of the equation by 2 .
\(2T=\sqrt{\frac{u}{g}}\)
Square both sides of the equation.
\((2T)^2=\frac{u}{g} \\~\\ (2T)(2T)=\frac{u}{g} \\~\\ 4T^2=\frac{u}{g} \)
Multiply both sides by g .
\(g\cdot4T^2=u\)
Divide both sides by 4T2
\(g=\frac{u}{4T^2}\)