Ok I got an equation here...(adsbygoogle = window.adsbygoogle || []).push({});

[tex]2\sqrt {\frac{{(1 + 2t^4 )^2 }}{{t^6 }}}[/tex]

is the equation (sorry for misleading title but its the same concept).

Now I was always under the assumption that the top square could be removed as long as you reduce the bottom to [tex]t^3[/tex] since [tex]t^3[/tex] squared is [tex]t^6[/tex] and that you can cancel out squares like that. I guess I'm wrong? I'm running some examples in my mind and I'm kinda realizing you can't do it... but i feel like ive always thought it was true for soem reason.

I also did a simplification through mathematica and found out that the square root actually allows you to remove the [tex]^3[/tex] to get to the [tex]t^3[/tex].

The first question i'm asking is: without that square root... would I be able to simplify?

The 2nd question is exactly why I am able to use that square root to simplify. Sorry if its confusing....

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# Homework Help: (1+x)^2/x^6 doesn't simplify?

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