Find out the greatest and least numbers: `2sqrt2, 3root(3)(2), 2root(4)(3), 2root(6)(7)`

(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)

root (4) (root(3)(2^2))

The greatest among the numbers root(4)(2),root(5)(3),root(10)(6) and root(20) (15) is

Consider the following in respect of the numbers sqrt2,root(3)(2)androot(6)(6) I. root(6)(6) is the greatest number. II. sqrt2 is the smallest number. Which of the above statements is/are correct?

The greatest number among sqrt5, root(3)(4), root(5)(2), root(7)(3) is sqrt5, root(3)(4), root(5)(2), root(7)(3) में सबसे बड़ी संख्या है?