Question

I write two quadratic surds whose sum is a rational number​

Answer 1

Answer:

The product of two binomial quadratic surds is always rational. For example, (√m + √n)(√m - √n) = (√m)^2 - (√n)^2 = m - n, which is rational.

Answer 2

Answer:

Let we take quadratic surds as:

7-√3 and 7 + √3

Sum of these surds will be:

7-√3 + 7 + √3

= 14

Where 14 is a rational number.