इंगित की गई संक्रियाओं को सम्पादित कीजिए और परिणाम `x+iy` के रूप में लिखिए:
`(sqrt(5)+7i)(sqrt(5)-7i)^(2)+(-2+7i)^(2)`

Simplify : (sqrt5+7i)(sqrt5-7i)^3 .

Evaluate (5-7i) +(2+4i).

sqrt(3x^(2)-7x-30)-sqrt(2x^(2)-7x-5)=x-5

If i=sqrt(-1) , then (7+5i)(-2-6i)=

I=int(2)/(sqrt(x)-sqrt(x+7))dx

Perform the indicated operation and give your answer in the form x+yi , where x and y are real numbers and i= sqrt(-1) (sqrt5-7i) (sqrt5-7i)^(2) + (-2+ 7i)^(2)

6i^(50) + 5i^(33) - 2i^(15) + 6i^(48) = 7i .

Perform the indicated operation and give your answer in the form x + iy, where x and y are real numbers and i = sqrt (-1) . (sqrt5-7i)(sqrt5-7i)^2+(-2+7i)^2 .

If x+iy=sqrt((3+4i)/(5+12i)) then 169(x^(2)+y^(2))^(2)=

Perform the following by the indicated operations. Express the result in the form x+iy, where x,y are real number i=sqrt(-1) : Simply: (i) (sqrt(5)+7i)(sqrt(5)-7i)^(3) (ii) (1+i)(2+3i)(3+4i)(4+5i) (iii) (1+i^(2))+i^(4)+i^(6) .