Question

find the square root if -7+24i​

Answer 1

Answer:

Find the square root of the following complex numbers: 7 + 24i - Mathematics and Statistics

∴ a2 – b2 = 7 and b = a.

∴ a4 – 144 = 7a2 ∴ a4 – 7a2 – 144 = 0. ∴ (a2 – 16)(a2 + 9) = 0. ∴ a2 = 16 or a2 = – 9. But a ∈ R. ∴ a2 ≠ – 9. ∴ a2 = 16. ∴ a = ± 4. When a = 4, b = = 3.

When a = – 4, b = = – 3.

Step-by-step explanation:

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