11
((a^5/6 - a^1/3)/(a-1))^-1 - a^1/6 = (a^1/3(a^(5/6-1/3)-1)/(a^1/2-1)(a^1/2+1))^-1 - a^1/6 = (a^1/3/(a^1/2+1))^-1 - a^1/6 = (a^1/2+1)/a^1/3 - a^1/6 = a^(1/2-1/3) + a^-1/3 - a^1/6 = a^-1/3
a=64=4^3 (4^3)^-1/3 = 4^-1 = 1/4 = 0.25
10
√(3-√8) - 2 = √((√2)² - 2*1*√2 + 1²) - √2 = (√2>1) = √(√2 - 1)² - √2 = √2 -1 -√2=-1
9
√(10 - √96) - √(10 + √96)) = √((√6)² - 2*2*√6 + 2²) - √((√6)² - 2*2*√6 + 2²) = √(√6 - 2)² - √(√6 + 2)² = (√6 > 2) = √6 - 2 - √6 - 2 = -4