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)

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

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

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

If z=((sqrt(3)+i)^(17))/((1-i)^(50)) , then find a m p(z)dot

If ( vec axx vec b)^2+( vec a dot vec b)^2=144a n d| vec a|=4, then find the value of | vec b|dot

If sin(A-B)=1/(sqrt(10 ,))cos(A+B)=2/(sqrt(29)) , find the value of tan2A where A and B lie between 0 and pi/4 dot