" (vi) "(3sqrt(2))/(7root(3)(3))

Simplify each of the following : (i) root(5)(16) times root(5)(2)" (ii) "root(4)(243)/root(4)(3) (iii) (3+sqrt(2))(4+sqrt(7))" (iv) "(sqrt(3)-sqrt(2))^(2)

Evaluate : x^(3)+3x-13, " if" x=root(3)(7+5sqrt(2))-(1)/(root(3)(7+5sqrt(2)))

If x=root(3)(7+5sqrt(2))-(1)/(root(3)(7+5sqrt(2))), then the value of x^(3)+3x-14 is equal to 1 b.0 c.2 d.4

If x=root(3)(7+5sqrt(2))-(1)/(root(3)(7+5sqrt(2))), then the value of x^(3)+3x-14 is equal to 1(b)0(c)2 (d) 4

Evaluate lim_(xto2) (sqrt((x+7))-3sqrt((2x-3)))/(root(3)((x+6))-2root(3)((3x-5))).

Evaluate: lim_(x rarr2)(sqrt((x+7))-3sqrt((2x-3)))/(root(3)((x+6)-2root(3)((3x-5))))

Evaluate lim_(xto2) (sqrt((x+7))-3sqrt((2x-3)))/(root(3)((x+6))-2root(3)((3x-5))).

Evaluate lim_(xto2) (sqrt((x+7))-3sqrt((2x-3)))/(root(3)((x+6))-2root(3)((3x-5))).

lim_(x rarr oo)(30+4sqrt(x)+7root(3)(x))/(2+sqrt(4x-7)+root(3)(6x-2)) equals 15 (b) 2(c)(3)/(2) (d)