`(sqrt8)^(1/3)` = ?
(a) `2`
(b) `4`
(c) `sqrt2`
(d) `2sqrt2`

Determine the value of (1)/(sqrt(1)+sqrt(2))+(1)/(sqrt(2)+sqrt(3))+(1)/(sqrt(3)+sqrt(4))+1+(1)/(sqrt(120)+sqrt(121)) (a) 8 (b) 10 (c) sqrt(120) (d) 12sqrt(2)

the length of intercept made by the line sqrt2x-y-4sqrt2=0 on the parabola y^2=4x is equal to (a) 6sqrt3 (b) 4sqrt3 (c) 8sqrt2 (d) 6sqrt2

If tan(pi.costheta)=cot(pi.sintheta), then: cos((pi)/(4)-theta)=..... (a) 1/2 (b) 1/sqrt2 (c) 1/(2sqrt2) (d) sqrt2/2

The length of the chord of the parabola y^(2)=x which is bisected at the point (2,1) is (a) 2sqrt(3)( b) 4sqrt(3)(c)3sqrt(2) (d) 2sqrt(5)

Delta ABC has a right angle at A. If BC = sqrt2 and AB = AC = 1 then sin B is equal to (a) (1)/(sqrt2) (b) sqrt2 (c) (sqrt3)/(2) (d) sqrt3

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)

[ If N=(sqrt(sqrt(5)+2)+sqrt(sqrt(5)-2))/(sqrt(sqrt(5)+1))-sqrt(3-2sqrt(2)) then N equals [ (A) 1, (B) 2sqrt(2)-1 (C) (sqrt(5))/(2), (D) (2)/(sqrt(sqrt(5)+1))]]

sin^(-1)sqrt((2-sqrt(3))/4)+cos^(-1)(sqrt(12)/4)+sec^(-1)(sqrt(2))= (a) 0 (b) pi/4 (c) pi/6 (d) pi/2

If x = 5+2sqrt6 , then the value of (sqrtx +frac(1)(sqrtx)) is (A) 2sqrt2 (B) 3sqrt2 (C ) 2sqrt3 (D) 3sqrt3

if x=(sqrt2 + 1 ) ^(-1//3) , then the value of (x^3 - frac(1) (x^3)) is (A) 0 (B) -sqrt2 (C ) -2 (D) 3sqrt2