Show that :
`( 2 + sqrt(2) )^2 = 6 + 4sqrt(2)`

Show that (sqrt(2)+1)^(6)+(sqrt(2)-1)^(6)=198

Show that tan pi/16 = sqrt(4 +2 sqrt2) - (sqrt2+1) .

(2 + sqrt6 )(4 + sqrt6)

show that ((sqrt(3)+i)/(2))^(6)+((i-sqrt(3))/(2))^(6)=-2

Evaluate using binomial theorem: (i) (sqrt(2)+1)^(6) +(sqrt(2)-1)^(6) (ii) (sqrt(5)+sqrt(2))^(4)-(sqrt(5)-sqrt(2))^(4)

Show that sqrt(2+sqrt(2 +2 cos 4 theta))= 2 cos theta

Simplify: (i) (2 sqrt(2) + 3 sqrt(3)) (2 sqrt(2) - 3 sqrt(3)) (ii) (2 sqrt(8) - 3 sqrt(2))^(2) (iii) (sqrt(7) + sqrt(6))^(2) (iv) (6 - sqrt(2))(2 + sqrt(3))

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