Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{Double\times 4.3Double\times 2.7}{2}=5.412.\]
Take out the constants.
\[\frac{(4.3\times 2.7)uubbllDoeDoe}{2}=5.412.\]
Simplify \(4.3\times 2.7\) to \(11.61\).
\[\frac{11.61uubbllDoeDoe}{2}=5.412.\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[\frac{11.61{u}^{2}{b}^{2}{l}^{2}{Do}^{2}{e}^{2}}{2}=5.412.\]
Regroup terms.
\[\frac{11.61{Do}^{2}{e}^{2}{u}^{2}{b}^{2}{l}^{2}}{2}=5.412.\]
Simplify \(\frac{11.61{Do}^{2}{e}^{2}{u}^{2}{b}^{2}{l}^{2}}{2}\) to \(5.805{Do}^{2}{e}^{2}{u}^{2}{b}^{2}{l}^{2}\).
\[5.805{Do}^{2}{e}^{2}{u}^{2}{b}^{2}{l}^{2}=5.412.\]
Divide both sides by \(5.805\).
\[{Do}^{2}{e}^{2}{u}^{2}{b}^{2}{l}^{2}=\frac{5.412.}{5.805}\]
Divide both sides by \({Do}^{2}\).
\[{e}^{2}{u}^{2}{b}^{2}{l}^{2}=\frac{\frac{5.412.}{5.805}}{{Do}^{2}}\]
Simplify \(\frac{\frac{5.412.}{5.805}}{{Do}^{2}}\) to \(\frac{5.412.}{5.805{Do}^{2}}\).
\[{e}^{2}{u}^{2}{b}^{2}{l}^{2}=\frac{5.412.}{5.805{Do}^{2}}\]
Divide both sides by \({e}^{2}\).
\[{u}^{2}{b}^{2}{l}^{2}=\frac{\frac{5.412.}{5.805{Do}^{2}}}{{e}^{2}}\]
Simplify \(\frac{\frac{5.412.}{5.805{Do}^{2}}}{{e}^{2}}\) to \(\frac{5.412.}{5.805{Do}^{2}{e}^{2}}\).
\[{u}^{2}{b}^{2}{l}^{2}=\frac{5.412.}{5.805{Do}^{2}{e}^{2}}\]
Divide both sides by \({b}^{2}\).
\[{u}^{2}{l}^{2}=\frac{\frac{5.412.}{5.805{Do}^{2}{e}^{2}}}{{b}^{2}}\]
Simplify \(\frac{\frac{5.412.}{5.805{Do}^{2}{e}^{2}}}{{b}^{2}}\) to \(\frac{5.412.}{5.805{Do}^{2}{e}^{2}{b}^{2}}\).
\[{u}^{2}{l}^{2}=\frac{5.412.}{5.805{Do}^{2}{e}^{2}{b}^{2}}\]
Divide both sides by \({l}^{2}\).
\[{u}^{2}=\frac{\frac{5.412.}{5.805{Do}^{2}{e}^{2}{b}^{2}}}{{l}^{2}}\]
Simplify \(\frac{\frac{5.412.}{5.805{Do}^{2}{e}^{2}{b}^{2}}}{{l}^{2}}\) to \(\frac{5.412.}{5.805{Do}^{2}{e}^{2}{b}^{2}{l}^{2}}\).
\[{u}^{2}=\frac{5.412.}{5.805{Do}^{2}{e}^{2}{b}^{2}{l}^{2}}\]
Take the square root of both sides.
\[u=\pm \sqrt{\frac{5.412.}{5.805{Do}^{2}{e}^{2}{b}^{2}{l}^{2}}}\]
u=sqrt(5.412./(5.805*Do^2*e^2*b^2*l^2)),-sqrt(5.412./(5.805*Do^2*e^2*b^2*l^2))
