Home
Class 10
MATHS
Prove that sqrt(3) is an irrational numb...

Prove that `sqrt(3)` is an irrational number.

Promotional Banner

Topper's Solved these Questions

  • NUMBER AND SEQUENCES

    SURA PUBLICATION|Exercise Unit test|12 Videos
  • NUMBER AND SEQUENCES

    SURA PUBLICATION|Exercise GOVERNMENT EXAM QUESTIONS|12 Videos
  • MENSURATION

    SURA PUBLICATION|Exercise Unit Test (Section -C)|2 Videos
  • ONE MARK QUESTIONS SET

    SURA PUBLICATION|Exercise Multiple Choice Question|250 Videos

Similar Questions

Explore conceptually related problems

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

Prove that sqrt2+sqrt2 is irrational .

Prove that sqrtp+sqrtq is an irrational, where p,q are primes.

Write the truth value for each of the following statements. (1) 3+5=8 and sqrt(2) is an irrational number. (2) 5 is a positive integer or a square is a rectangle. (3) Chennai is not a Tamilnadu.

Show that 5-sqrt3 is irrational.

For real numbers x and y define x\ R\ y if x - y + sqrt(2) is an irrational number. Then the relation R is

Show that sqrt2 is irrational.

Prove that number (log)_2 7 is an irrational number.

If p,q and r ( pneq ) are terms ( not necessarily consecutive) of an A.P., then prove that there exists a rational number k such that (r-q)/(q-p) =k. hence, prove that the numbers sqrt2,sqrt3 and sqrt5 cannot be the terms of a single A.P. with non-zero common difference.

Consider the statement " sqrt5 is a rational number or an irrational number". i. Find the component statements and check whether they are true or false. ii. Check whether the compound statement is true or false.