Question

Evaluate √(13 +2i)^4​

Answer 1

165 + 52 i

(i think thats the answer im very sorry if i’m wrong)

Answer 2

(165 + 52 i)

Explanation:

We are given the expression:

√(13+2i)⁴

the square root can also be written as the power of 1/2

`(13 + 2i)^(4 * 1/2)`

(13 + 2i)²

(13)² + (2i)² + 2(13)(2i) [(a + b)² = a² + b² + 2ab]

169 + 4(i²) + 52i

169 - 4 + 52i [i² = -1]

(165 + 52 i)