The value of `2+1/(2+1/(2+....infty))` is
`(a) 1-sqrt2`
`(b) 1+sqrt2`
`(c) 1+-sqrt2`

The value of sin(1/4sin^(-1)(sqrt(63))/8) is 1/(sqrt(2)) (b) 1/(sqrt(3)) (c) 1/(2sqrt(2)) (d) 1/(3sqrt(3))

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

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 the point P(a ,a^2) lies completely inside the triangle formed by the lines x=0,y=0, and x+y=2, then find the exhaustive range of values of a is (A) (0,1) (B) (1,sqrt2) (C) (sqrt2 -1,1) (D) (sqrt2 -1,2)

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

Determine the value of - ((1+iota)/sqrt2)^8 + ((1-iota)/sqrt2)^8 (a) 1 (b) 2 (c) 3 (d) 0