If `(sqrt(8)+i)^(50)=3^(49)(a+i b)` , then find the value of `a^2+b^2dot`

If a+2b+3c=4, then find the least value of a^2+b^2+c^2dot

If the harmonic mean between roots of (5+sqrt(2))x^2-b x+8+2sqrt(5)=0i s4 , then find the value of bdot

If sqrt(3)+i=(a+i b)(c+i d) , then find the value of tan^(-1)(b//a)+tan^(-1)(d//c)

Find the value of (sqrt2 + sqrt8)^(2)

If log_(sqrt8) b = 3 1/3 , then find the value of b.

If z=(sqrt3-i)/2 , then Find the. value of z^33

Find the value of 1+i^2+i^4+i^6+i^8

If sqrt(x+i y)=+-(a+i b), then find sqrt( -x-i ydot)

If a = (sqrt5 + 1)/(sqrt5 + 1) and b = (sqrt5 -1)/(sqrt5 + 1) , then find the value of (a) (a^(2) + ab + b^(2))/(a^(2) - ab + b^(2)) (b) ((a -b)^(3))/((a + b)^(3)) (c) (3a^(2) + 5ab + b^(2))/(3a^(2) - 5ab + b^(2)) (d) (a^(3) + b^(3))/(a^(3) - b^(3))

If |z|lt=4 , then find the maximum value of |i z+3-4i|dot