What is the value of |2i|??

Give reasons.

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Solution

Generally we know

If z = x + iy then
|z| = | x + iy|
= √((x)² + (y)²)

Likewise

we have Given |2i| given which is actually | 0 + 2i |

so | 0 + 2i | = √((0)² + (2)²)
= √((2)²) = 2

So 2 is the answer.

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