Răspuns:
Explicație pas cu pas:
a = (√2 + √3 - √5)(√2 + √3 + √5) : √6
= (2 + √6 + √10 + √6 + 3 + √15 - √10 - √15 - 5) : √6
= 2√6 : √6 = 2
________
b = 1/3 + 1/8 + 1/15 + 1/24 = 8/24 + 3/24 + 1/24 + 1/15 = 12/24 + 1/15 = 1/2 + 1/15
= 15/30 + 2/30 = 17/30
8a - 30b = 8*2 - 30*17/30 = 16 - 17 = -1
(8a - 30b)^100 = (-1)^100 = 1
