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

Prove that sqrt(3) is an irrational number. (Hint: Follow the method that we have used to prove sqrt(2) cancel(in) QQ .)

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

Are the following pairs of statements negations of each other: The number x is a rational number. The number x is an irrational number.

Are the following pairs of statements negations of each other: The number x is not a rational number. The number x is not an irrational number.

Which one of the following is an irrational number ?

Identify the type of ''Or'' used in the following statements and check whether the statements are true or false: sqrt2 is a rational number or an irrational number

Find the component statements of the following and check whether they are true or not. sqrt2 is a rational number or an irrational number.

(log)_4 18 is (a) a rational number (b) an irrational number (c) a prime number (d) none of these

Which of the following is not an irrational number ?