The square of an irrational number is always a rational 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

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

CLOSURE PROPERTY The sum of any two rational numbers is always a rational number.

Check the validity of the statements given below by the method given against it. p : The sum of an irrational number and a rational number is irrational.

Prove the following statement by contradiciton method p : The sum of an irrational number and a rational number is irrational .

Square root of a rational number

If n is a natural number,the sqrt(n) always a natural number always an irrational number always an irrational number somexx a natural number and somexx an irrational number

Give an example of two irrational numbers whose. (i) Difference is an irrational number. (ii) difference is a rational number. (iii) sum is an irrational number. (iv) sum is a rational number. (v) product is an irrational. (vi) product is a rational number.

Consider the following statements (i) The sum of a rational number with an irrational number is always irrationa. (ii) The product of two rational numbers is always rational. (iii) The product of two irrationals is always irrationals. (iv) The sum of two rational is always rational. (v) The sum of two irrationals is always irrational. The correct order of True/False of above statements is :

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