(√5 + √7)²is a:

Correct option is D

Given:

(√5 + √7)²

Formula used:

(a + b)² = a²+ b²+ 2ab

Solution:

(√5)²+ (√7)²+ 2 × √5 × √7

=> 5 + 7 + 2√35

=> 12 + 2√35

=> 2(6 + √35)

√35 is an irrational number.

So, (√5 + √7)² is an irrational number.