पूर्ण (शुद्ध) करणी के रूप में लिखिएः
(i) `sqrt(80)` (ii) `root(3)(72)` (iii) `root(8)((x^(13))/(y^(21)))` (iv) `root(3)(756)`

sqrt4 , root4(8) , root3(5)

Simplify root(5)(x^(4)root(4)(x^(3)root(3)(x^(2)sqrt(x))))

sqrt(x^(-2)y^(3)) root(4)(root(3)(x^(2)))

Compare : (i) root(6 )(15) and root(4)(12)" (ii) "sqrt(24) and root(3)(25)

State, with reason, which of the following are surds and which are not : (i) sqrt(180) " (ii) "root(3)(64)" (iii) "root(3)(25) times root(3)(40)

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

Evaluate the following : (i) sqrt(30-sqrt(25)) (ii) sqrt(36-sqrt(121)) (iii) root(3)27-root(3)8

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

" 53.If "root(3)(y)sqrt(x)=root(6)((x+y)^(3))," then "(dy)/(dx)=

root(3)(8 (sqrt3 -1)^(3))=