Which of the following numbers are rational and which are irrational? (a) (sqrt{2}+sqrt{frac{3}{2}}). (b) (1+sqrt{2}+sqrt{frac{3}{2}}). (c) (2

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Which of the following numbers are rational and which are irrational?

(a) \(\sqrt{2}+\sqrt{\frac{3}{2}}\).

(b) \(1+\sqrt{2}+\sqrt{\frac{3}{2}}\).

(c) \(2 \sqrt{18}-3 \sqrt{8}+\sqrt{4}\).

(d) \(\sqrt{2}+\sqrt{3}+\sqrt{5}\)

(e) \(\sqrt{2}+\sqrt{3}-\sqrt{5+2 \sqrt{6}}\).

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