Math, asked by Vijaykumarsoni, 1 year ago

prove that 1/√3 is irrational numbers

Answers

Answered by Vanshika08112003
318
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}


hope this helps you
Answered by amanbohara3005
71

(where A and B are some integers )*

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