prove that 3 - 2 \sqrt{5} is irrational..
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So 3+2√5 = a/b where a,b are integers and are co primes and b is not equal to 0.
=> √5 is rational which is a contradiction since √5 is irrational.
So our assumption that 2+3√5 is rational is wrong.
✓ So 2+3√5 is irrational.
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