Prove that 2 - 3√5 is an irrational number.
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Let x=2−3 √5 be a rational number.
3 √5 =2−x
√5 = 2−x /3
Since x is rational, 2-x is rational and hence
2−x /3 is also rational number
⇒ √5 is a rational numbers, which is a contradiction.
Hence 2−3√ 5must be an irrational number.
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