To find the value of [tex]\(\sqrt{0}\)[/tex], we start by understanding what the square root symbol (√) represents. The square root of a number [tex]\(x\)[/tex] is a value [tex]\(y\)[/tex] such that [tex]\(y^2 = x\)[/tex]. In other words, we are looking for a number [tex]\(y\)[/tex] which, when squared, equals [tex]\(x\)[/tex].
Let's apply this to the given problem:
1. We need to find [tex]\(\sqrt{0}\)[/tex].
2. We are looking for a number [tex]\(y\)[/tex] such that [tex]\(y^2 = 0\)[/tex].
Now consider the properties of the number 0:
- Any number multiplied by 0 is 0.
- Therefore, if [tex]\(y = 0\)[/tex], then [tex]\(y^2 = 0^2 = 0\)[/tex].
This means that 0 is the number that, when squared, gives 0.
Thus, the value of [tex]\(\sqrt{0}\)[/tex] is:
[tex]\[
\sqrt{0} = 0.0
\][/tex]
