What is 1/(sqrt(1-\frac{v^2){c^2)}} ?

The solution to 1/(sqrt(1-\frac{v^2){c^2)}} is c/(sqrt(c^2-v^2))

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simplify 1/(sqrt(1-\frac{v^2){c^2)}}

simplify

\frac{1}{1 - \frac{v ^{2}}{c ^{2}}}

\frac{c}{c ^{2} - v ^{2}}

Solution steps

\frac{1}{1 - \frac{v ^{2}}{c ^{2}}}

Simplify

1 - \frac{v ^{2}}{c ^{2}} : \frac{c ^{2} - v ^{2}}{c}

= \frac{1}{\frac{c ^{2} - v ^{2}}{c}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{c}{c ^{2} - v ^{2}}

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What is 1/(sqrt(1-\frac{v^2){c^2)}} ?
The solution to 1/(sqrt(1-\frac{v^2){c^2)}} is c/(sqrt(c^2-v^2))