Find the value of the following: (A-)`(1+sqrt2)/(1-sqrt2)` `
` (B-)`625^(3/4)`

If sqrt(2)=1.414,sqrt(3)=1.732 , find the value of the following : (i)(sqrt(2)+1)/(sqrt(2)-1)" "(ii)(sqrt(3)-1)/(sqrt(3)+1)" "(iii)(2+sqrt(6))/(sqrt(2))

Find the value of a and b in each of the following (i)(3+sqrt(2))/(3-sqrt(2))=a+bsqrt(2)" "(ii)(sqrt(2)+1)/(sqrt(2)-1)=a-bsqrt(2)" "(iii)(5+4sqrt(3))/(5-4sqrt(3))=a-bsqrt(3)

Find the general value of theta cos theta = (1)/( sqrt2)

Find the principal value of cos^(-1)(1/sqrt2) .

Find the principal value of each of the following: (i) sin^(-1)(-(sqrt(3))/2) (ii) sin^(-1)(cos (pi/3)) (iii) sin^(-1)((sqrt(3)-1)/(2sqrt(2)))

Find the principal value of the following cos e c^(-1)(2) (ii) tan^(-1)(-sqrt(3)) cos^(-1)(1/(sqrt(2)))

Find the principal value of the following (i) sin^(-1).(1)/(2) (ii) tan ^(-1).(1)/sqrt(3) (iii) cot ^(-1)(-sqrt3)

Find the principal value of the following: (i) cosec^(-1)(2) (ii) tan^(-1) (-sqrt3) (iii) cos^(-1) (-(1)/(sqrt2))

Find the value of cot^(-1)(-sqrt3)+cosec^(-1)(2)+sec^(-1)(-sqrt2) .

Evaluate the following: \ {a^2+sqrt(a^2-1)}^4+{a^2-sqrt(a^2-1)}^4