Home
Class 12
MATHS
Using the word " necessary and sufficent...

Using the word " necessary and sufficent" rewrite the statement "j`sqrtn` is a rational number if and only if is a pefect square

Text Solution

Verified by Experts

The necessary and sufficent condition that `sqrtn is rational number is n must be perfect square
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    AAKASH INSTITUTE|Exercise Try Yourself|18 Videos
  • MATHEMATICAL REASONING

    AAKASH INSTITUTE|Exercise Assignment (SECTION-A) (Objective type Questions (Only one answer))|50 Videos
  • LIMITS AND DERIVATIVES

    AAKASH INSTITUTE|Exercise Section - j|3 Videos
  • MATRICES

    AAKASH INSTITUTE|Exercise Assignment (Section - J) Aakash Challengers Questions|3 Videos

Similar Questions

Explore conceptually related problems

(i) Check the validity of given statement r : A triangle is iosceles if and only if its two angles are equal (ii) Using the word " necessary and sufficent " rewrite the statement " A sequnece is in G. P if and only if each term differs from the succeeding one by a non-zero constant ratio

Prove that sqrt(n) is not a rational number.if n is not a perfect square.

Using the words 'necessary and sufficient rewrite the statement The integer n is odd if and only if n^(2) is odd .Also check whether the statement is true.

Using the words necessary and sufficient rewrite the statement The integer n is odd if and only if n^(2) is odd Also check whether the statement is true.

Square root of a rational number

P : sqrt(15) is a rational number is statement

Write negation of the statement: “ pi is not a rational number”.

The square of an irrational number is always a rational number

For each of the following compound statements first identify the connecting words and then break it into component statements. (i) All rational numbers are real and all real numbers are not complex. (ii) Square of an integer is positive or negati