Expand `(sqrt 2 + 1)^5 - (sqrt 2 - 1)^5`

Expand (sqrt 3 + sqrt 4)^5

Expand (sqrt 5 - sqrt 3)^4

Expand (sqrt 5 + sqrt 3)^4

Find the value of: (i) (sqrt 3 + 1)^4 - (sqrt 3 - 1)^4 (ii) (2 + sqrt 5)^5 + (2 - sqrt 5)^5

If z = ((sqrt 3)/2 + i/2)^5 + ((sqrt 3)/2 - i/2)^5 , then

Expand: (i) (sqrt 3 + sqrt 2)^4 (ii) (sqrt 5 - sqrt 2)^5

Express the follwing in the form of a + ib, a , b in R i=sqrt ( -1). State the value of a and b. ( - sqrt5 + 2 sqrt ( -4) ) + (1 - sqrt ( -9 ))+ (2 + 3i ) (2 - 3i )