Question

Three irrational number whose sum is a rational number.

Answer 1

sqrt(2)

sqrt(3)

6 - sqrt(2) sqrt(3)

Explanation:

sqrt(2) is an irrational number.

sqrt(3) is an irrational number.

Let x = 6 - sqrt(2) - sqrt(3).

x is also an irrational number.

Now add the three numbers above:

sqrt(2) + sqrt(3) + [6 - sqrt(2) - sqrt(3)] =

= sqrt(2) + sqrt(3) + 6 - sqrt(2) - sqrt(3)

= 6