Find the value of `(a^2+sqrt(a^2-1))^4+(a^2-sqrt(a^2-1))^4`.

4.Find the value of "1/(sqrt5+sqrt2)

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

Find the value of ( sqrt(2) + 1)^(6) + ( sqrt(2) - 1)^(6) and show that the value of ( sqrt(2) + 1)^(6) lies between 197 and 198.

Find the value of sqrt((x+2sqrt((x-1)))]+sqrt((x-2sqrt((x-1)))] =

If a =( 4sqrt(6))/(sqrt(2)+sqrt(3)) then the value of (a+2sqrt(2))/(a-2sqrt(2))+(a+2sqrt(3))/(a-2sqrt(3))

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 \ sqrt(2+sqrt(2+2cos4theta))

Find the value of 4cos[cos^(-1)((1)/(4)(sqrt(6)-sqrt(2)))-cos^(-1)((1)/(4)(sqrt(6)+sqrt(2)))] .

if sqrt2=1.414and sqrt3=1.732 then find the value of 4/(3sqrt3-2sqrt2)+3/(3sqrt3+2sqrt2)

Find the possible values of sqrt(|x|-2) (ii) sqrt(3-|x-1|) (iii) sqrt(4-sqrt(x^2))