Finding length of the curve, did i mess up simpifying?

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SUMMARY

The discussion centers on calculating the length of a curve using the formula for arc length in calculus. The user initially misapplies the simplification of the expression (2t)², incorrectly asserting it equals 4t². Upon further examination, the correct expression for the length of the curve is derived as √(4t² + 25t⁸), which does not simplify to 10t⁵. The user acknowledges the mistake and seeks clarification on the simplification process.

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mr_coffee
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Hello everyone, I'm suppose to find the length of the curve. But the book got a different answer, anyone see my problem? Here is the picture and my work:
http://img216.imageshack.us/img216/7900/urnt8jd.jpg
THanks.
 
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Doesn't (2t)² = 4t²?
 
ahh ur right my bad..
so i have sqrt(4t^2 + 25t^8)
Will that simpify too:
10t^5?
 

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