a^(2)-1+2a sqrt(-1)

sqrt(1-(1)/(1^(2))+(1)/(2^(2)))-sqrt(1+(1)/(2^(2))+(1)/(3^(2)))-sqrt(1-(1)/(2007^(2))+(1)/(2008^(2)))

The matrix A=[{:(1/sqrt2,1/sqrt2),((-1)/sqrt2,(-1)/sqrt2):}] is

The matrix A=[{:(1/sqrt2,1/sqrt2),((-1)/sqrt2,(-1)/sqrt2):}] is

Find the sum of each of the following infinite series : sqrt(2)-1/sqrt(2)+1/(2sqrt(2))-1/(4sqrt(2))+...oo

If n is a positive integer, which of the following two will always be integers: (I) (sqrt(2)+1)^(2n)+(sqrt(2)-1)^(2n) (II) (sqrt(2)+1)^(2n)-(sqrt(2)-1)^(2n) (III) (sqrt(2)+1)^(2n+1)+(sqrt(2)-1)^(2n+1) (IV) (sqrt(2)+1)^(2n+1)-(sqrt(2)-1)^(2n+1)

sqrt((1)/(2)+(1)/(2)sqrt((1)/(2)+(1)/(2)sqrt((1)/(2)+(1)/(2)cos8 theta)))theta=(pi)/(12)

What is sqrt(1 + 1/1^(2) + 1/2^(2)) + sqrt(1 + 1/2^(2) + 1/3^(2)) +.... + sqrt(1+ 1/2007^(2) + 1/2008^(2)) equal to?

If a=(sqrt(2)+1)/(sqrt(2)-1),b=(sqrt(2)-1)/(sqrt(2)+1), prove that a^(2)+ab+b^(2)=35