Question

question

The square root of a negative number is imaginary. That is you cannot find, for example, sqrt(-49) . Why?

my answer

Yes you can, however this is aginst the normal operations non the less we are dealing with iminiganary numbers so, as such the square root of a negative number --- will be an imaginary number and imiginary numbers are negative numbers.

Answer 1

Any "real" number multiplied by itself is positive. Therefore there is no "real" square root of a negative nunber. That does not mean that you cannot define imaginary numbers that have the property that their squares are negative.

Imaginary numbers are an important part of number theory and calculus.