Simplify :- (i)`(6)/(sqrt(2))` (ii)`(sqrt(3))/(3)` (iii)`sqrt((3)/(4))` (iv)`(6)/(sqrt(2))` (v)`(sqrt(5))/(10)` (vi)`sqrt((16)/(2))`

`(dy)/(dx)=(e^(sqrt(x)))/(2sqrt(x))-(e^(-sqrt(x)))/(2sqrt(x))=(e^(sqrt(x)-)e^(-sqrt(x)))/(2sqrt(x))` `=(sqrt((e^(sqrt(x))+e^(-sqrt(x)))^(2))-4)/(2sqrt(x))` `=(sqrt(y^(2)-4))/(2sqrt(x))`

Correct Answer - `(i) (5,oo)` `(ii) (5,7]` `(iii) R` `(iv) x in phi` `(v)(-oo,2)uu(8,oo)` `(vi) (-oo,-2)` `(vii) x in (0,(1)/(3)]` `(viii) x in (-oo,-4)uu[(1)/(2),(8)/(7)]`

Correct Answer - (i) 9.898 (ii) 17.32 (iii) 18.24 (iv) 6.928

Correct Answer - (i) 1 (ii) 1

Correct Answer - `-0.891`

Correct Answer - (i)`(5)/(2)` (ii) 4 (iii)` (9)/(8)` (iv)` (5)/(2)` (v) 4 (vi)`(4)/(3)`

Correct Answer - (i)`sqrt(3)` (ii)`(1)/(sqrt(2))` (iii)`(5)/(3)` (iv)`(3)/(4)`

Correct Answer - `{:((i),(12+13i),(ii),(-1+7i),(iii),(-3+5i),(iv),"(11-9i)"),((v),(9+22i),(vi),28,(vii),(18-i),(vii),-7sqrt(3)i):}`

Correct Answer - (i) `6+3sqrt(2) +2sqrt(3)+sqrt(6)" "`(ii) 6`" "` (iii) `7+2sqrt(10) " "` (iv) 3

Correct Answer - (i) `(sqrt(7))/(7)" "` (ii) `sqrt(7)+sqrt(6) " " ` (iii) `(sqrt(5)-sqrt(2))/(3) " " ` (iv) ` (sqrt(7)+2)/(3)`