Find the odd one out the sequence: `1, sqrt2, sqrt3, 4, sqrt5,......`
(1) `sqrt5`
(2) `4`
(3) `1`
(4) `sqrt3`

Arrange the numbers in descensing order. 2 sqrt11, 4 sqrt3, 3 sqrt5 , 5 sqrt2

Prove that sin 27^circ = 1/4 (sqrt(5 + sqrt5) - sqrt(3 - sqrt5)) .

Solve the equation sqrt(2x-1)+sqrt(3x-2)=sqrt(4x-3)+sqrt(5x-4).

Evaluate : Find the value of sqrt( 3 + sqrt(5)) a ) sqrt(3)/2 + 1/sqrt(2) b ) sqrt(3)/2 - 1/2 c ) sqrt(5)/2 - 1/sqrt(2) d ) sqrt(5)/sqrt(2) + 1/sqrt(2)

Prove that sin 9^circ = 1/4 (sqrt(3 + sqrt5) - sqrt(5 - sqrt5)) .

Evaluate |[1,sqrt(3),4],[sqrt(3),5,sqrt(5)],[4,sqrt(3),1]|

Arrange the following in descending order sqrt3 - sqrt2, sqrt4 - sqrt3 , sqrt5 - sqrt4 , sqrt2 - 1.

Arrange the following in decending order sqrt(3) - sqrt(2), sqrt(4) - sqrt(3), sqrt(5) - sqrt(4), sqrt(2) - 1 .

Find the angle between the lines whose direction cosines are (-(sqrt3)/(4), (1)/(4), -(sqrt3)/(2)) and (-(sqrt3)/(4), (1)/(4), (sqrt3)/(2)) .

1/(sqrt5 +sqrt3 +2) + 1/(-sqrt5 +sqrt3 +2 ) =