Solve the following :- (i)`sqrt(sqrt(2)/(3))xxsqrt((9)/(2))` (ii)`sqrt((5)/(6))xxsqrt((3)/(5))` (iii)`sqrt((3)/(5))divsqrt((27)/(125))` (iv)`sqrt((4)/

Correct Answer - i) `-pi/4`, ii) `(5pi)/6`, iii) `-pi/3`, iv) `(2pi)/3`, v) `-pi/4`, vi) `(2pi)/3`

`(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 - 6.527

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

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)`