Question

find the square root of 3-4i​

Answer 1

Answer:

Step-by-step explanation:

We have to find the square root of 3 - 4i

On comparing we get,

     ...........(i)

2xy = -4

xy = -2

Putting the values in equation (i)

Taking L.C.M we get

4 - y⁴ = 3y²

y⁴ + 3y² - 4 = 0

y⁴ + 4y² - y² - 4 = 0

y²(y² + 4) -1(y² + 4) = 0

(y² - 1)(y² + 4) = 0

y² = 1;

y = ± 1

Second value of y cannot be possible

If y = 1 ; x = -2

If y = -1 ; x = 2

Two roots are -2 + i and 2 - i