Can anyone explain what the square root does? I know 3 squared equals the square root of 9. I want to learn what is actually happening behind the math, if that makes sense. Consider the following: I’m calculating the wavelength of light, and traveling towards the source.(adsbygoogle = window.adsbygoogle || []).push({});

Speed of light = 300 Units per second

Wavelength = .75 Units

My Speed = 25 Units per second

The square root of 275/325 equals .919866211

.919866211 multiplied by .75 equals the measured wavelength .689899658256

Why do we square root and what is actually happening?

I am pretty sure that the number 325 has the effect (or whatever) added to it, and the number 275 has the effect subtracted from it.

Does the square root mean the effect of 325 is applied to the wavelength, and then the effect of 275, then 325, then 275, then 325, and so on? I did this 24 times and came up with a wavelength of .689832748504272 which is close, but still wrong. It didn’t matter which effect was applied first either.

Any ideas?

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# Square Root in Special Relativity

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