Answer:
This question has a very imaginative answer.;)
m^2=-4
Therefore,
m=-4^0.5 or m=√-4
We know that √4 is 2. But the minus sign inside the root sign controls the game.
So now,
√-4=√4×√-1.
We know that no real number can have negative root because even if multiply a negative number with itself, then also it will form a positive number as 2 negatives make a positive.
Therefore the mathematicians have given this complicated number, √-1, the name iota and the symbol i. It's on this concept the complex numbers are based on.
Back to your question:
Therefore,
m=√-4=√4×√-1=2×√-1
Therefore,
m=2 i.
Hope this helps you.:)
^_^
