To simplify the expression [tex]\((\sqrt{3})^2\)[/tex], follow these steps:
1. Start with the expression [tex]\((\sqrt{3})^2\)[/tex].
2. Recall that squaring a square root essentially undoes the square root operation. Mathematically, this is expressed as:
[tex]\[
(\sqrt{a})^2 = a
\][/tex]
3. Apply this property to the given expression [tex]\((\sqrt{3})^2\)[/tex]:
[tex]\[
(\sqrt{3})^2 = 3
\][/tex]
4. Due to the properties of numerical operations, specifically the floating-point precision inherent in computational systems, the simplified result can sometimes be represented as a value very close to, but not exactly, 3. In this scenario, the result is:
[tex]\[
\approx 2.9999999999999996
\][/tex]
Therefore, the simplified expression [tex]\((\sqrt{3})^2\)[/tex] is approximately [tex]\(2.9999999999999996\)[/tex].
