Answer
2(10 - √10) or 13.68 to the nearest hundredth.
Step-by-step explanation:
(√5 + √2)^2 + (√8 - √5)^2
= 5 + 2 + 2√5√2 + (8 + 5 - 2√8√5)
= 7 + 2√10 + 13 - 2√40
= 20 + 2√10 - 2√40
= 20 + 2√10 - 4√10
= 20 - 2√10
= 2(10 - √10).
