Option b: 25
Option d: [tex]5^{2}[/tex]
Explanation:
The expression is [tex](\sqrt{25})^{2}[/tex]
Solving the expression, we have,
[tex](\sqrt{25})^{2}=25[/tex]
Option a: [tex]\sqrt{5^{2}}[/tex]
[tex]\sqrt{5^{2}}=\sqrt{25}[/tex]
Thus, [tex]\sqrt{25}[/tex] is not equivalent to the expression [tex](\sqrt{25})^{2}[/tex]
Hence, option a is not the correct answer.
Option b: [tex]25[/tex]
[tex]25[/tex] is equivalent to the expression [tex](\sqrt{25})^{2}[/tex]
Hence, Option b is the correct answer.
Option c: [tex]\sqrt{5}[/tex]
[tex]\sqrt{5}[/tex] is not equivalent to the expression [tex](\sqrt{25})^{2}[/tex]
Hence, Option c is not the correct answer.
Option d: [tex]5^{2}[/tex]
[tex]5^{2}=25[/tex]
Thus, [tex]5^{2}[/tex] is equivalent to the expression [tex](\sqrt{25})^{2}[/tex]
Hence, Option d is the correct answer.
Thus, the expression [tex](\sqrt{25})^{2}[/tex] can be rewritten as [tex]25[/tex] and [tex]5^{2}[/tex]
Hence, Option b and Option c are the correct answers.