Answer:
√(23-8√7)+√(11-4√7) = 2
Explanation:
Step1:-
Given Surds √(23-8√7)+√(11-4√7)
now we have to simplify √(23-8√7)


This is form of

![\sqrt[2]{(4-√(7))^(2) }](https://img.qammunity.org/2021/formulas/mathematics/middle-school/rcb6zi1zvbd3ksrg275rrnip3m8p6urwxg.png)
.......(1)
Step2:-
we have to simplify √(11-4√7)


using formula


.....(2)
step3:-
adding (1) and (2) equations and cancelled
we get answer is 2