Find the imaginary part of `((3+2sqrt(-54))^(1/2)-(3-2sqrt(-54))^(1/2))`

Let Z_1=2-I and Z_2 =-2 + i Find the imaginary part of (1)/( Z_1Z_2) solve = sqrt 5x^(2) +x+ sqrt( 5) =0

Find the value of (-1+sqrt(-3))^(2)+(-1-sqrt(-3))^(2)

Find the value of (1)/(2+sqrt(3))+(1)/(2-sqrt(3))

60sqrt((1)/(6))+3sqrt(54)-12sqrt((1)/(24))

find the value of 1/(sqrt(2)+sqrt(3))-1/(sqrt(2)-sqrt(3))

find the value of 1/(sqrt(2)+sqrt(3))-1/(sqrt(2)-sqrt(3))

sqrt(11449)xxsqrt(6241)-(54)^(2)=sqrt(?)+(74)^(2)

If sqrt(2) = 1.414, sqrt(3) = 1.732, sqrt(5) = 2.236 and sqrt(6) = 2.449 , find the value of (2+sqrt(3))/(2-sqrt(3)) +(2-sqrt(3))/(2+sqrt(3)) +(sqrt(3) -1)/(sqrt(3) +1)

If the angle between line with d.cs (-(2)/(sqrt(21)), (a)/(sqrt(21)), (b)/(sqrt(21))) and other line with d.c ((3)/(sqrt(54)), (3)/(sqrt(54)), (-6)/(sqrt(54))) is 90^(0) then a pair of possible values of 'a' and 'b' respectively are

If sqrt(3) = 1.73 find the value of : (2+sqrt(3))/(2-sqrt(3))+(2-sqrt(3))/(2+sqrt(3))+(sqrt(3)-1)/(sqrt(3)+1)-(sqrt(3)+1)/(sqrt(3)-1) .