To solve the expression [tex]\((\sqrt{a})^2\)[/tex] for any nonnegative real number [tex]\(a\)[/tex], follow these steps:
1. Understand the Expression:
[tex]\(\sqrt{a}\)[/tex] represents the square root of the nonnegative real number [tex]\(a\)[/tex].
2. Square the Square Root:
We need to square the square root of [tex]\(a\)[/tex]. The square root of a number is the value that, when squared, gives the original number. Therefore:
[tex]\[
(\sqrt{a})^2
\][/tex]
3. Apply the Property of Square Roots:
The property of square roots tells us that the square of the square root of a number returns the original number:
[tex]\[
(\sqrt{a})^2 = a
\][/tex]
4. Conclusion:
Based on the property of square roots, we conclude that:
[tex]\[
(\sqrt{a})^2 = a
\][/tex]
Thus, the correct answer is:
[tex]\[
\boxed{B}
\][/tex]
