If x = 7/2 is a rational number and y = √27 is an irrational number, then what type of number will x + y be?
Show answer & explanation
Correct answer: B
Explanation
Given:
x = 7/2, which is a rational number.
y = √27
√27 = √(9 × 3) = 3√3
Since √3 is irrational, 3√3 will also be irrational.
x + y = 7/2 + 3√3
The sum of a rational number and an irrational number is always an irrational number.