Division of two irrational numbers can be a rational number (true/false)
Division of 2 irrational numbers can be rational .(true or false)
Can division of two irrational number be rational?
Which one of the following is correct and which one is not correct? Give reasons.
1) If 'a' is a rational number and 'b' is irrational, then a+b is irrational.
2) The product of a non-profit rational number with an irrational number is always irrational.
3) Addition of any two irrational numbers can be rational.
4) Division of any two integers is an integer.
State, in each case, whether the given statement is true or false.
(i) The sum of two rational numbers is rational.
(ii) The sum of two irrational numbers is irrational.
(iii) The product of two rational numbers is rational.
(iv) The product of two irrational numbers is irrational.
(v) The sum of a rational number and an irrational number is irrational.
(vi) The product of a nonzero rational number and an irrational number is a rational number.
(vii) Every real number is rational.
(viii) Every real number is either rational or irrational.
(ix) π is irrational and 227 is rational.