Remove parentheses.
\[\sqrt{\frac{6.67\times {10}^{-11}\times 2-1}{1.334\times {10}^{-16}}}\]
Simplify \(6.67\times {10}^{-11}\times 2\) to \((13.34)\times {10}^{-11}\).
\[\sqrt{\frac{13.34\times {10}^{-11}-1}{1.334\times {10}^{-16}}}\]
Simplify.
\[\frac{\sqrt{13.34\times {10}^{-11}-1}}{\sqrt{1.334\times {10}^{-16}}}\]
Use this rule: \(\sqrt{ab}=\sqrt{a}\sqrt{b}\).
\[\frac{\sqrt{13.34\times {10}^{-11}-1}}{\sqrt{1.334}\sqrt{{10}^{-16}}}\]
Simplify \(\sqrt{1.334}\) to \(1.154989\).
\[\frac{\sqrt{13.34\times {10}^{-11}-1}}{1.154989\sqrt{{10}^{-16}}}\]
Use Negative Power Rule: \({x}^{-a}=\frac{1}{{x}^{a}}\).
\[\frac{\sqrt{13.34\times {10}^{-11}-1}}{1.154989\sqrt{\frac{1}{{10}^{16}}}}\]
Simplify \(\sqrt{\frac{1}{{10}^{16}}}\) to \(\frac{\sqrt{1}}{\sqrt{{10}^{16}}}\).
\[\frac{\sqrt{13.34\times {10}^{-11}-1}}{1.154989\times \frac{\sqrt{1}}{\sqrt{{10}^{16}}}}\]
Simplify \(\sqrt{1}\) to \(1\).
\[\frac{\sqrt{13.34\times {10}^{-11}-1}}{1.154989\times \frac{1}{\sqrt{{10}^{16}}}}\]
Simplify \(\sqrt{{10}^{16}}\) to \({10}^{8}\).
\[\frac{\sqrt{13.34\times {10}^{-11}-1}}{1.154989\times \frac{1}{{10}^{8}}}\]
Simplify \({10}^{8}\) to \(100000000\).
\[\frac{\sqrt{13.34\times {10}^{-11}-1}}{1.154989\times \frac{1}{100000000}}\]
Simplify \(1.154989\times \frac{1}{100000000}\) to \(1.154989\times {10}^{-8}\).
\[\frac{\sqrt{13.34\times {10}^{-11}-1}}{1.154989\times {10}^{-8}}\]
sqrt(13.34*10^-11-1)/(1.1549891774385*10^-8)
