To find the square root of [tex]\( 116.3 \)[/tex], we start by understanding that we need the value which, when multiplied by itself, gives us [tex]\( 116.3 \)[/tex]. This can be formalized as:
[tex]\[
\sqrt{116.3} \approx x
\][/tex]
where [tex]\( x \)[/tex] is the square root value.
The numerical value of square root has been determined to be:
[tex]\[
\sqrt{116.3} \approx 10.784247771634329
\][/tex]
So, the result of the square root of [tex]\( 116.3 \)[/tex] is approximately:
[tex]\[
\sqrt{116.3} \approx 10.784
\][/tex]
This matches the traditionally rounded result to three decimal places. Therefore, the approximate value of [tex]\(\sqrt{116.3}\)[/tex] is [tex]\(10.784\)[/tex].
