Home
Class 12
MATHS
Define a rational number and prove that ...

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

Answer

Step by step text solution for Define a rational number and prove that sqrt(2) is not rational. by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • REAL NUMBERS

    CHHAYA PUBLICATION|Exercise Exercise (Short Answer Type Questions)|11 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

Prove that, sqrt(3) is not rational.

By taking two examples of irrational numbers prove that (a) the sum of them is a rational number, (b) the product of them is a rational 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.

Show that the sum of a rational number and an irrational number cannot be rational.

Find 3 rational number between 3 and 4.

Find 4 rational number between 1 and 2 .

Show that "log"_2 3 is not a rational number.

State whether e is a rational or an irrational number ? If irrational what type of irrational number ? Show that the two numbers obtained by adding 1 and subtracing irrational numbers and their difference is a rational number.

For rational numbers (i) state the associative law on addition, By choosing and three rational numbers prove the law. (ii) State the associative law on multiplication . By choosing any three rational numbers prove the law.

Prove that the operation @ on QQ , the set of rational numbers, defined by a@b=ab+1 is binary operational on QQ .