Prove that each of the following numbers is irrational. (i) √3

1.	Prove that each of the following numbers is irrational. (i) √3 (ii) (2−√3)(iii) (3+√2) (iv) (2+√5)(v) (5+3√2) (vi) 3√7(vii) 3√5 (viii) (2−3√5)(ix) (√3+√5)
Answer» Prove that each of the following numbers is irrational. $(i) \sqrt{3} (i i) (2 - \sqrt{3}) (i i i) (3 + \sqrt{2}) (i v) (2 + \sqrt{5}) (v) (5 + 3 \sqrt{2}) (v i) 3 \sqrt{7} (v i i) \frac{3}{\sqrt{5}} (v i i i) (2 - 3 \sqrt{5}) (i x) (\sqrt{3} + \sqrt{5})$

Prove that each of the following numbers is irrational. (i) √3 (ii) (2−√3)(iii) (3+√2) (iv) (2+√5)(v) (5+3√2) (vi) 3√7(vii) 3√5 (viii) (2−3√5)(ix) (√3+√5)

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Prove that each of the following numbers is irrational.

$(i) \sqrt{3} (i i) (2 - \sqrt{3}) (i i i) (3 + \sqrt{2}) (i v) (2 + \sqrt{5}) (v) (5 + 3 \sqrt{2}) (v i) 3 \sqrt{7} (v i i) \frac{3}{\sqrt{5}} (v i i i) (2 - 3 \sqrt{5}) (i x) (\sqrt{3} + \sqrt{5})$

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Prove that each of the following numbers is irrational. (i) √3 (ii) (2−√3)(iii) (3+√2) (iv) (2+√5)(v) (5+3√2) (vi) 3√7(vii) 3√5 (viii) (2−3√5)(ix) (√3+√5)

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