Question

Prove that 1/√3
is irrational.​

Answer 1

Answer:

Let as assume to the contrary that 1/√3 is rational number

1/√3= P/Q { where p and Q are co-prime and Q not equal to 0}

√3 P =Q .1

√3 = Q/P

√3 = Irrational number

Q/P =Rational

Irrational not equal to rational

This is a contradiction has arisen by the wrong assumption because of our incorrect assumption that 1 / √3 is rational.

Hence, (1/√3) is irrational .{proved}

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