Which of the following is equal to `root(3)(-1)` a. `(sqrt(3)+sqrt(-1))/2` b. `(-sqrt(3)+sqrt(-1))/(sqrt(-4))` c. `(sqrt(3)-sqrt(-1))/(sqrt(-4))` d. `-sqrt(-1)`

(sqrt(3)+1+sqrt(3)+1)/(2sqrt(2))

(sqrt(3)-sqrt(2))/(sqrt(3)+sqrt(2))-(sqrt(3)+sqrt(2))/(sqrt(3)-sqrt(2))+(1)/(sqrt(2)+1)-(1)/(sqrt(2)-1)

([(sqrt(2)+isqrt(3))+(sqrt(2)-isqrt(3))])/([(sqrt(3)+1sqrt(2))+(sqrt(3)-1sqrt(2))])

1/(sqrt(7)+sqrt(3))\times (sqrt(7)-sqrt(3))/(sqrt(7)-sqrt(3))

Simplify : (1)/(sqrt(3)+sqrt(2))-(1)/(sqrt(3)-sqrt(2))+(2)/(sqrt(2)+1)

Solve sqrt(x+3-4sqrt(x-1))+sqrt(x+8-6sqrt(x-1))=1

Solve sqrt(x+3-4sqrt(x-1))+sqrt(x+8-6sqrt(x-1))=1

Solve sqrt(x+3-4sqrt(x-1))+sqrt(x+8-6sqrt(x-1))=1

Simplify each of the following : (i)(sqrt(2)+1)/(sqrt(2)-1)+(sqrt(2)-1)/(sqrt(2)+1)" "(ii)(sqrt(5)+sqrt(3))/(sqrt(5)-sqrt(3))+(sqrt(5)-sqrt(3))/(sqrt(5)+sqrt(3))" "(iii)(2)/(sqrt(5)+sqrt(3))+(1)/(sqrt(3)+sqrt(2))-(3)/(sqrt(5)+sqrt(2))" "(iv)(sqrt(7)+sqrt(5))/(sqrt(7)-sqrt(5))-(sqrt(7)-sqrt(5))/(sqrt(7)+sqrt(5))

Length of E F is equal to- a. 1+sqrt(3)-sqrt(6) b. \ 1+sqrt(3)-sqrt(2) c. \ sqrt(6)-1-sqrt(3) d. sqrt(2)-1+sqrt(3)