Question

√-4 = ? Please answer

Answer 1

Hey there!

This question is some what related to complex numbers.

There exists some number which don't have a definite value either reccuring non terminating or non terminating non recurring value.

Simply, We can say we don't know the value of some numbers .

1² = 1
(-1)² = 1

So, Square of any number either positive or negative is positive.

Therefore, We don't know the numbers whose square results in a number . So We imagine that for a number " i " it's square equals -1 ( it's taken as -1 as every number can be written in multiples of -1 or 1 , here -1 because it's non positive)

So, i² = -1

Which again gives us i = √-1

Coming back to your question,

√-4 = √( 4 × -1 ) = √4 * √-1 = 2(i) = 2i .

Therefore, √-4 = 2i .

Hope you are helped :)