The square root of a negative number is NOT a real number. i.e., the square root function cannot accept negative numbers as inputs. i.e., The domain of the square root function f(x) = √x is the …

Jun 3, 2023 · It's because we're not taking the "plain" (principal) square root here. We're finding +sqrt(4) and -sqrt(4) to get both solutions. Sure, if you take the principal square root of both …

Jan 4, 2021 · We know we cannot take the square root of a negative number. Therefore, we don’t want to put any negative x-values in our table. To further simplify our computations, let’s use …

Apr 13, 2014 · It is perfectly reasonable to try to extend the square root function $\sqrt{a}$ for $a$ any complex number, since we know that complex numbers have square roots. But unlike in …

Let's investigate what happens when negative values appear under the radical symbol (as the radicand) for cube roots and square roots. In some situations, negative numbers under a …

Mar 11, 2025 · Answer: By definition, √4= 2. 4 = 2. The number √4 4 is the nonnegative number which, when squared, gives 4. 4.

The behavior of the square root function when extended to the domain of all real numbers (positive reals, negative reals, and 0) precisely mirrors the argument made above. The square …

Step 1: Understand that finding the square root of a number means determining what number, when multiplied by itself, equals the original number. Step 2: Identify the numbers that could …

If we take square root of a negative number, we should place the negative sign before radical sign/radix -√, e.g. imaginary number √-1 = -√1. You do not need sci-fi to be convinced because …

If the value in the radicand is negative, the root is said to be an imaginary number. The imaginary number \(i\) is defined as the square root of \(-1\). \(\sqrt{-1}=i\) So, using properties of …