(sqrt(2)+1)^(5)+(sqrt(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)

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

The value of log_((sqrt(2)-1))(5sqrt(2)-7) is :

The value of log_((sqrt(2)-1))(5sqrt(2)-7) is :

Evaluate (sqrt2+1)^(5))-(sqrt2-1)^(5) using binomial theorem.

[ If N=(sqrt(sqrt(5)+2)+sqrt(sqrt(5)-2))/(sqrt(sqrt(5)+1))-sqrt(3-2sqrt(2)) then N equals [ (A) 1, (B) 2sqrt(2)-1 (C) (sqrt(5))/(2), (D) (2)/(sqrt(sqrt(5)+1))]]

The number of real solutions of equation 2^((x)/(2))+(sqrt(2)+1)^(x)=(5+2sqrt(2))^((1)/(2)) is

Find the number of terms in the expansions of the following: (1+5sqrt(2)x)^9+(1-5sqrt(2)x)^9

Find the number of terms in the expansions of the following: (1+sqrt(2)x)^(9)+(1-5sqrt(2)x)^(9)