Answer: √10, √27, and √99 are all the irrational numbers from the list.
√10 = √(5*2) = √5 * √2 ----> irrational
√27 = √(9*3) = (√9) * √(3) = 3√3 ----> irrational
√99 = √(9*11) = (√9) * (√11) = 3√11 -------> irrational
√(49) = 7 -----> rational
√(64) = 8 ----------> rational