[" (E) "],[" (iii) "3root(3)(2)]

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)

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

DIfferentiate (i) 3x^(-5) (ii) 1/(5x) (iii) root3(x^(2))

Evaluate: (i) root(3)(4^3×6^3) (ii) root(3)( 8×17×17×17) (iii) root(3)(700×2×49×5) (iv) 125root(3)(a^3) - root(3)(125a^6)

Write in ascending order : (i) 3sqrt(5) and 4sqrt(3) (ii) 2root(3)(5) and 3root(3)(2) (iii) 6sqrt(5), 7sqrt(3) and 8sqrt(2)

Which of the following are the roots of 3x^(2)+2x-1=0 ? (i) -1" "(ii)" "(1)/(3)" "(iii)" "-(1)/(2)

Which one of the following are irrational numbers ? (i) sqrt(2+sqrt3) , (ii) sqrt(4+sqrt25) , (iii) root3(5+sqrt7) , (iv) sqrt(8-root3(8))

(2)/(root(3)(9) - root(3)(3)+1) - (1)/(root(3)(9)+root(3)(3)+1) = 1) 1 , 2) -1 , 3) root(3)(3) , 4) - root(3)(3)

The value of (root(3)(3.5) + root(3)(2.5)) { (root(3)(3.5) )^2 - root(3) (8.75) + ( root(3)(2.5))^2} is

Write the following surds in exponential form i. sqrt(2) ii. root(3)(9) iii. root(5)(20) iv. root(17)(19)