To solve for [tex]\(\sqrt{301}\)[/tex], we are looking for the principal square root of 301. The principal square root of a number [tex]\(x\)[/tex] is a non-negative number [tex]\(y\)[/tex] such that [tex]\(y^2 = x\)[/tex].
In this case, the value of [tex]\( \sqrt{301} \)[/tex] is approximately:
[tex]\[ \sqrt{301} \approx 17.349351572897472 \][/tex]
So, the principal square root of 301 is:
[tex]\[ \boxed{17.349351572897472} \][/tex]
