Question

Why can't we take roots of negative numbers?

Answer 1

Any number times itself is a positive number (or zero), so you can't ever get to anegative number by squaring. Since square roots undo squaring, negative numbers can't have square roots.

ie Square of any positive number is a positive number
eg: 7 * 7 = 49

But square of a negative number is also a positive number
eg: -7 * -7 = 49

Hence no square of a number is a negative number. In other words, we cant take the root of a negative number.

Hope this helps :)