prove that 3√2 anirrational?
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3+√2 = a/b ,where a and b are integers and b is not equal to zero .. therefore, √2 = (3b - a)/b is rational as a, b and 3 are integers.. But this contradicts the fact that √2 is irrational.. So, it concludes that 3+√2 is irrational..
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Let us assume, to the contrary, that 32 is.
⇒ 2 is rational ...[ ∵3,a and b are integers∴3bais a rational number]
This contradicts the fact that 2 is irrational.
Hence, 32 is an irrational number.
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