(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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.

3. 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?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Help needed to find a mistake

**Physics Forums | Science Articles, Homework Help, Discussion**