Evaluate √(13 +2i)^4

Mathematics

2 answers:

diamong [38]3 years ago

7 0

165 + 52 i

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

7nadin3 [17]3 years ago

6 0

Answer:

(165 + 52 i)

Step-by-step 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)

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