If x is irrational and y is irrational, then x+y is:
Show answer & explanation
Correct answer: C
Explanation
Given:
x is irrational and y is irrational.
The sum of two irrational numbers can sometimes be rational and sometimes irrational.
If x = √2 and y = −√2
then x + y = 0 (rational)
If x = √2 and y = √3
then x + y = √2 + √3 (irrational)
Rational if x = −y