Question

Why square root of negative integer is undefined? ​

Answer 1

Answer:

The square root of a negative number is undefined, because anything times itself will give a positive (or zero) result. Note: Zero has only one square root (itself). Zero is considered neither positive nor negative.

Step-by-step explanation:

Answer 2

How we define a square root ? e.g. we say square root of 4 is 2. why ?

Square root of 4 is 2, because 2 x 2 = 4

Now can we define a number which is multiplied by itself and results in a negative number ? The answer is No. there is no such number which is defined by itself and gives a result with minus sign. For example -2 x -2 is also +4.

As such we can say that the square root of a negative number is undefined. Better to say that square root of a negative number is not a real number.