Answer: The answer √2+√3 is irrational
Explanation:
Let us assume that √ 2+√ 3 is a rational number. So it can be written in the form √2+√3 = a/b.
Squaring both sides, we get (√ 2)^2 = (a/b - √3)^2
(a/b - √3)^2 = a^2/b^2 + 3-2 (a/b)(√3)
a^2/b^2 + 1 = 2(√3)(a/b)
a^2+b^2/b^2 * b/2a = (√3)
a^2+b^2/2ab = (√3)
a^2+b^2/2ab is a rational number, and √ 3 is a rational number. This contradicts our assumption that √ 3 is irrational. Thus, √2+√3 is irrational.