The sum of rational in `(sqrt2+root(3)(3)+root(6)(5))^10` is equal to

Rationalising factor of (root(3)(3) + root(3)(2)) is ____

Evaluate: int ((sqrtx)^3-root(3)(x))/(6root(4)(x))dx

Express in the form of like surds: root(3)(4), root(6)(5), 2sqrt3 .

Express as like surds: root(6)(5), root(5)(6)

Which one of root(3)(2), root(4)(3), root(6)(5) and root(12)(26) is greatest?

The sum of the rational terms in the expansion of (sqrt2+3^(1/5))^(10) is

(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)

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

Express in the form of the product of a rational and irrational number: (a) root(3)(432) (b) 2root(5)(729)

lim_(x->oo)(2sqrt(x)+3root3x+4root4x+.......+nrootnx)/(sqrt((2x-3))+root3(2x-3)+.......+rootn(2x-3)) is equal to (a) 1 (b) oo (c) sqrt(2) (d) none of these