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Prove the irrationality of the following numbers:

a) $\sqrt{3} 17$

b) $\sqrt{2} + \sqrt{3}$

c) $\sqrt{2} + \sqrt{3} + \sqrt{5}$

d) $\sqrt{3} 3 - \sqrt{2}$

e) $\cos 10^{\circ}$

f) $\tan 10^{\circ}$

g) $\sin 1^{\circ}$

h) $\log_{2} 3$