`2sqrt3` is an irrational number.

sqrt5 is an irrational number.

Prove that sqrt5-sqrt3 is a irrational number.

Prove that sqrt3+sqrt7 is an irrational number.

Given that sqrt p is irrational for all prime p and also suppose that 3721 is a prime. Can you conclude that sqrt 3721 is an irrational number ? Is your conclusion correct ? Why or why not ?

Which one of the following statement is true? (i) The sum of two irrational numbers is always an irrational number. (ii) The sum of two irrational numbers is always a rational number. (iii) The sum of two irrational numbers may be a rational number or irrational number. (iv) The sum of two irrational numbers is always an integer.

Let r be a rational number and x be an irrational number. Use proof by contradiction to show that r + x is an irrational number.

Prove that 2-sqrt3 is irrational.

Check whether -sqrt63/sqrt448 is a rational number or an irrational number.

Identify the type of ‘Or’ used in the following statement and check whether the statement is true or false. sqrt 2 is a rational number or an irrational number.