[" 70."(7^(95)-3^(58))" an "(1)/(8015)3sqrt(90)" fortm "(1)/(6)?],[[" (a) "0," (b) "4],[" (a) "0," (a) "4]]

If x=(2)/(3+sqrt(7)), then (x-3)^(2)=1 (b) 3 (c) 6( d) 7

If x=2/(3+sqrt(7)) , then (x-3)^2= (a)1 (b) 3 (c) 6 (d) 7

The value of (1)/( sqrt(7) - sqrt(6)) - (1)/( sqrt(6) - sqrt(5) ) +(1)/( sqrt(5) -2) - (1)/( sqrt(8) - sqrt(7) ) +(1)/( 3- sqrt(8)) is

Simplify (1)/(3 - sqrt(8)) - (1)/(sqrt(8) - sqrt(7)) + (1)/(sqrt(7) - sqrt(6)) - (1)/(sqrt(6) - sqrt(5)) + (1)/(sqrt(5) - 2)

Simplify : 7sqrt((1)/(3)) -2(1)/(3) sqrt((1)/(3)) +3 sqrt( 147)

If z = ((1)/(sqrt(3)) + (1)/(2)i)^(7) + ((1)/(sqrt(3))-(1)/(2)i)^(7) , then

if a=(7+4sqrt(3))^(2005) and b=(7-4sqrt(3))^(2005) then (a+1)^(-1)+(b+1)^(-1)

Rationalise the denominator of each of the following. (i) (1)/(sqrt(7)) (ii) (sqrt(5))/(2sqrt(3)) (iii) (1)/(2+ sqrt(3)) (1)/(sqrt(3)) (v) (1)/((5+3sqrt(2)) (vi) (1)/(sqrt(7) - sqrt(6)) (vi) (1)/(sqrt(7) - sqrt(6)) (viii) (1+ sqrt(2))/(2-sqrt(2)) (ix) (3-2sqrt(2))/(3+2sqrt(2))

Simplify (1)/(2+sqrt3)+(3)/(4-sqrt5)+(6)/(7-sqrt8) .

The value of cot70^(@)+4cos70^(@) is (a) (1)/(sqrt(3)) (b) sqrt(3)(c)2sqrt(3)(d)(1)/(2)