hat (5 +3v2) is an irrational number.1SGiven that 2 is irrational. pro – InterviewSolution

1.

hat (5 +3v2) is an irrational number.1SGiven that 2 is irrational. prove t

Answer»

Given √2 is irrational

Let assume 5+3√2 be rational.

5 + 3√2 = p/q

3√2 = p/q -5

√2 = (p - 5q)/5

So, LHS is irrational and RHS is rational.So, 5+3√2 is irrational

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