given that root 2 is irrational proof that (5 + 3root2) is an irrational number.
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Hey.. I think this can be ur answer!!
Given:root2 is irrationalNow,let us assume that 5 +3root2 is rationalSo,5+3root2 = a/b3root2 = a/b-5 =a-5b/bRoot2 = a-5b/3b
But we know that root2 is irrationalSo, our assumption was wrong.Hence 5+3root2 is irrational.
Hence proved
Hope it helps you dear ☺️☺️
Given:root2 is irrationalNow,let us assume that 5 +3root2 is rationalSo,5+3root2 = a/b3root2 = a/b-5 =a-5b/bRoot2 = a-5b/3b
But we know that root2 is irrationalSo, our assumption was wrong.Hence 5+3root2 is irrational.
Hence proved
Hope it helps you dear ☺️☺️
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