Given that √2 is irrational,prove that (5+3√2) is irrational???
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Given:root2 is irrational
Now,let us assume that 5 +3root2 is rational
So,
5+3root2 = a/b
3root2 = a/b-5 =a-5b/b
Root2 = a-5b/3b
But we know that root2 is irrational
So, our assumption was wrong.
Hence 5+3root2 is irrational.
Hence proved
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