The multiplication of a rational number 'x' and an irrational number 'y' is :

State true or false: (i) Negative of an irrational number is irrational . (ii) The product of a non- zero rational number and an irrational number is a rational number.

Insert a rational number and an irrational number between 3 and 4.

Insert a rational number and an irrational number between 5 and 6.

Check the validity of the statement given below by contradiction method. 'Sum of a rational number and an irrational number is an irrational number.'

Explain, how irrational numbers differ from rational number?

The product of a non-zero rational number with an irrational number is always a/an

All the rational numbers are irrational also.

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 :

Write whether (2sqrt(45)+3sqrt(20))/(2sqrt(5)) on simplification gives a rational 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.