2 thoughts on “Let x and y be rational and irrational numbers, respectively. <br /><br />Is x+y necessarily an irrational number? Give an example”
Answer:
Irrational numbers are the real numbers that cannot be represented as a simple fraction. It cannot be expressed in the form of a ratio, such as p/q, where p and q are integers, q≠0. … For example, √5, √11, √21, etc., are irrational.
Yes ,(x+y) is necessarily an irrational number . if possible, let x+y =2 +√3 be a rational number. So, a is rational ⇒a2-74 is rational ⇒√3 is rational
Answer:
Irrational numbers are the real numbers that cannot be represented as a simple fraction. It cannot be expressed in the form of a ratio, such as p/q, where p and q are integers, q≠0. … For example, √5, √11, √21, etc., are irrational.
Step-by-step explanation:
Yes ,(x+y) is necessarily an irrational number . if possible, let x+y =2 +√3 be a rational number. So, a is rational ⇒a2-74 is rational ⇒√3 is rational