7. Given that 2 is irrational, prove that (5+372) is an irrational number.
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Hey.. I think this can be ur answer!!
➡️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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