Which is greater ? `sqrt12` or `root(3)3`

Which is greater? sqrt(12) or root(3)(3)

Which is greater , sqrt(2) or root(3)(3) ?

Which is greater ? 12 or 3 3

Which is greater sqrt(11)-sqrt(6) or sqrt(17)-sqrt(12) ?

Which is greater sqrt(11)-sqrt(6) or sqrt(17)-sqrt(12) ?

Which is greater to 2 ^(12) or 3 ^(8)

Which one is greatest out of sqrt2,root(6)(3),root(3)(4)androot(4)(5) ?

(a) If x gt a, y gt b and x + y = a + b , then find which one of (sqrtx + sqrty) and (sqrta + sqrtb) is greater ? (b) Which one of the two (sqrt21 + sqrt11) and (2sqrt5 + 2 sqrt3) is greater ? (c) Which one is greater root(3)(4) and root(4)(5) ? (d) Find the greatest and least numbers : 2 sqrt2, 3 root(3)(2), 2 root(4)(3), 2 root(6)(7)