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## √45 is the distance between which of the following complex numbers?

Question

√45 is the distance between which of the following complex numbers?

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Mathematics
3 months
2021-08-13T21:06:21+00:00
2021-08-13T21:06:21+00:00 1 Answers
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## Answers ( )

Step-by-step explanation:we don’t see the complex numbers.

so, we cannot check their distances.

a suspicion, though.

sqrt(45) a distance between 2 complex numbers is

sqrt(a² + b²).

so,

a² + b² = 45

a nice combination of whole square numbers would be 6 and 3.

6² + 3² = 36 + 9 = 45

if that is the case, then that would mean one of the following committed numbers

6 + 3i

3 + 6i

-6 + 3i

6 – 3i

-6 – 3i

-3 + 6i

3 – 6i

-3 – 6i

one of these numbers must be the result of the subtraction of the 2 provided complex numbers.

remember

(a + bi) – (c + di) = a-c + (b-d)i