[3+sqrt(3)+(3+sqrt(3))=],[64^(1/2)=]

Simplify: sqrt (-64) (3 + sqrt(-361))

The value of (2 + sqrt(3))/(2- sqrt(3)) + (2- sqrt(3))/(2 + sqrt(3)) + ( sqrt(3) + 1)/(sqrt(3) -1) is

If [3(3sqrt(x)-(1)/(3sqrt(x)))]^((1)/(3))=2 then find the value of 3sqrt(x)+(1)/(3sqrt(x))

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

If i=sqrt(-)1, then 4+5(-(1)/(2)+(i sqrt(3))/(2))^(334)+3(-(1)/(2)+(i sqrt(3))/(2))^(365) is equal to (1)1-i sqrt(3)(2)-1+i sqrt(3)(3)i sqrt(3)(4)-i sqrt(3)

Find the direction cosines of the line which is perpendicular to the lines with direction ratios 4, 1, 3 and 2, -3, 1 . a) (1)/(sqrt(3)),(1)/(5sqrt(3)),(-7)/(5sqrt(3)) b) (5)/(sqrt(3)),(1)/(sqrt(3)),(7)/(5) c) (2)/(sqrt(3)),(5)/(2sqrt(3)),(1)/(7sqrt(3)) d) (1)/(sqrt(3)),(2)/(sqrt(3)),(-1)/(sqrt(3))

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

The value of ((1+sqrt(3i))/(1-sqrt(3i)))^(64)+((1-sqrt(3i))/(1+sqrt(3i)))^(64) is -