(Sqrt(24) + sqrt(96))/2
Simplify sqrt(24)
24 = 6 * 4 where 4 is the perfect square
sqrt(24) = 2 * sqrt(6)
Simplify sqrt(96)
96 = 16 * 6 where 16 is the perfect square
sqrt(96) = 4 * sqrt(6)
Simplified, we have:
(2 * sqrt(6) + 4 * sqrt(6))/2
6 * sqrt(6)/2
3 * sqrt(6)
Simplify sqrt(24)
24 = 6 * 4 where 4 is the perfect square
sqrt(24) = 2 * sqrt(6)
Simplify sqrt(96)
96 = 16 * 6 where 16 is the perfect square
sqrt(96) = 4 * sqrt(6)
Simplified, we have:
(2 * sqrt(6) + 4 * sqrt(6))/2
6 * sqrt(6)/2
3 * sqrt(6)