If -8 - i50 - 349a - ib- then find the value of a2 - b2-

The correct option is A (a^2 + b^2) = 9 Given that (√(8) + i)^50 = 3^49(a + ib) Taking modulus and squaring both sides, we get #160; (8 + 1)^50 ...

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Properties of Modulus

If √8 + i50...

Question

If $(\sqrt{8} + i)^{50} = 3^{49} (a + i b)$ , then find the value of $a^{2} + b^{2}$ .

(a^{2} + b^{2}) = 9

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(a^{2} + b^{2}) = 27

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(a^{2} + b^{2}) = 3

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(a^{2} + b^{2}) = 1

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Solution

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