5. Prove that 2√3 by 5 is an irrational number, given that √3 is irrational.
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Step-by-step explanation:
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Step-by-step explanation:
To prove 2 + 3 5 is irrational, let us assume that 2 + 3 5 is rational. a b b 2 + 3 5 = a b ; b ≠ 0 and a and b are integers. Since a and b are integers so, 5a - 2b will also be an integer. So, a b b 5 a - 2 b b will be rational which means is also rational.
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