Irrational Numbers#!#Methods to Prove Irrational

Discussion OF Work sheet-2|| Irrational Number|| Properties OF Irrational Number ||Example OF irrational number

The sum; Difference;poduct and quotient of two irrational numbers need not be an irrational number.

Which one of the following statement is true? The sum of two irrational numbers is always an irrational number The sum of two irrational numbers is always a rational number The sum of two irrational numbers may be a rational number or irrational number The sum of two irrational numbers is always an integer

Give examples of two irrational numbers, whose quotient is an irrational number

Which of the following statements is true? product of two irrational numbers is always irrational Product of a rational and an irrational number is always irrational Sum of two irrational numbers can never be irrational Sum of an integer and a rational number can never be an integer

Prove that is irrational.

Prove that is irrational.

Prove that the sum of or the difference between, a rational number alpha and an irrational number beta is an irrational number.

Which of the following is a correct statement? Sum of two irrational numbers is always irrational Sum of a rational and irrational number is always an irrational number Square of an irrational number is always an irrational number Square of an irrational number is always a rational number Sum of two rational numbers can never be an integer