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