Home
Class 12
MATHS
Prove that, sqrt(3) is not rational....

Prove that, `sqrt(3)` is not rational.

Promotional Banner

Topper's Solved these Questions

  • REAL NUMBERS

    CHHAYA PUBLICATION|Exercise Exercise (Multiple Choice Questions)|8 Videos

  • REAL NUMBERS

    CHHAYA PUBLICATION|Exercise Exercise (Very Short Answer Type Questions)|14 Videos

  • RANDOM VARIABLE AND ITS DISTRIBUTION

    CHHAYA PUBLICATION|Exercise Assertion Reason Type|8 Videos

  • RELATION AND MAPPING

    CHHAYA PUBLICATION|Exercise Assertion Type|2 Videos

Similar Questions

Explore conceptually related problems

Define a rational number and prove that sqrt(2) is not rational.

(i) Prove that sqrt2 is an irrational number. (ii) Prove that sqrt3 is an irrational number.

Prove that sqrt3 is irrational, (use the method of contradiction)

Prove that sqrt2+sqrt2 is irrational .

Prove that (2sqrt3+sqrt5) is an irrational number. Also check whether (2sqrt 3+ sqrt5)(2sqrt 3- sqrt5) is rational or irrational.

Let C be any circle with centre (0,sqrt(2))dot Prove that at most two rational points can be there on Cdot (A rational point is a point both of whose coordinates are rational numbers)

Prove that, (sqrt(3) - sqrt(5)) is an irrational number.

Write the component statements of each of the folloing compound statements : sqrt(3) is a rational number or an irrational number .

(a) (i) By taking any two irrational numbers, prove that their sum is a rational number. (ii) By taking any two irrational numbers, prove that their difference is a rational number. (b) Insert in between 1/7 and 2/7 (i) a rational number : (ii) an irrational number.

Prove that sqrt(108) - sqrt(75) = sqrt3