(adsbygoogle = window.adsbygoogle || []).push({}); Lindemann–Weierstrass theorem??

Let X1, X2, X3,...Xn be an increasing sequence of real numbers. Prove that the n exponential functions e^x1t,e^x2t.....e^xnt are linearly independent.

My question is how? I look at examples but how do I go about explaining this?

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Show that the set {1, sqrt(2), sqrt(3), sqrt(6)} is linearly independent over the rational numbers

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# Lindemann–Weierstrass theorem?

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