`sqrt5` is an irrational number.

2sqrt3 is an irrational number.

Prove that sqrt3+sqrt7 is an irrational number.

Prove that sqrt5-sqrt3 is a 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 ?

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.

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

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.

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.

The square of an irrational number is always rational.

Which one is an irrational number?