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## Homework Statement

It is asked to write [itex]\frac{M_{0}}{\sqrt{1-\frac{c^{2}}{v^{2}}}}[/itex] in lowest terms.

The answer that's given is: [itex]\frac{M_{0}*c\sqrt{c^{2}-v^{2}}}{c^{2}-v^{2}}[/itex]

The problem is that I don't get the correct answer.

## The Attempt at a Solution

My solution:

(0) [itex]\frac{M_{0}}{\sqrt{1-\frac{c^{2}}{v^{2}}}}[/itex]

(1) [itex]\frac{M_{0}}{\sqrt{\frac{c^{2}}{c^{2}}-\frac{c^{2}}{v^{2}}}}[/itex]

(2) [itex]\frac{M_{0}}{\sqrt{\frac{c^{2}-v^{2}}{c^{2}}}}[/itex]

(3) [itex]\frac{M_{0}}{\frac{\sqrt{c^{2}-v^{2}}}{c}}[/itex]

But this is the same as:

(4) [itex]\frac{M_{0}}{\sqrt{c^{2}-v^{2}}}[/itex] / c

So it is equal to

(5) [itex]\frac{M_{0}}{\sqrt{c^{2}-v^{2}}*c}[/itex]

And I will not get rid of c in the denominator ...

Where did I go wrong?

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