Question

Find two irrational numbers x and y so that their average is rational.

Answer 1

Answer:

In discipline such as mathematics, irrational numbers are referred to as or known as the real numbers that are not rational, i.e. the no. that are being constructed from the ratio of integers.

Therefore, let us assume

$x = \sqrt{2} \\y = -\sqrt{2}$

Now, rational number is referred to as or known as a no. which can be described as a fraction p/q or quotient of the two integers, i.e. a numerator and a denominator.

Now , lets take the average of the two irrational no.

We get;

$\frac{x + y}{2} = \frac{\sqrt{2} + (-\sqrt{2})}{2}$

$\frac{x + y}{2} = \frac{0}{2} = 0$

Hence, proved.