Math, asked by sarthakbhatia98, 6 months ago

For any positive real number X , prove that there exits an irrational number Y such that 0<Y<X

Answers

Answered by pramalanmidhila

Step-by-step explanation:

If x is irrational then y = x/2 is also an irrational number such that 0 < y < xIf x is rational then y = x/√2 is an irrational number such thatHence for any positive real number x there exists an irrational number y such that 0 < y < x.

Previous Question

Next Question

Similar questions

Science, 3 months ago

Write The Name Of Saturated Hydrocarbon Having 3, 4, 5 And 6 Carbon Joined In A Straight Chain? (quick)...

Chemistry, 3 months ago

Final mass of reaction mixture after precipitation, m3 =……………………. g...

Math, 3 months ago

8. Find the angles in each of the following: (a) The angles are complementary and the smaller is 40° less than the larger. (C) The angles are supplementary and the smaller is one-half of the larger. (d) The angles are supplementary and the larger is 58° more than the smaller. (e) The angles are supplementary and the larger is 20° less than three times the smaller, (f )The angles are adjacent and...

History, 6 months ago

3 What was the impact of Shah Jahan and Aurangzeb's rule on the Mughal Empire?

Science, 6 months ago

A candidate was asked this during an interview to get into a university’s engineering program. The candidate said night, with the interviewer following up with why.

English, 10 months ago

debate on need of reservation for women in present time...

Physics, 10 months ago

How air pressure support mercury column?

Math, 10 months ago

Construct a square root spiral up to root 15...