Question

How can (25−−√)2 be rewritten?

Select all that apply.

252
\((\sqrt{5})^2\)
\(25\)
\(\sqrt{5}\)
\(5^2\)

Answer 1

Option b: 25

Option d: $5^{2}$

Explanation:

The expression is $(\sqrt{25})^{2}$

Solving the expression, we have,

$(\sqrt{25})^{2}=25$

Option a: $\sqrt{5^{2}}$

$\sqrt{5^{2}}=\sqrt{25}$

Thus, $\sqrt{25}$ is not equivalent to the expression $(\sqrt{25})^{2}$

Hence, option a is not the correct answer.

Option b: $25$

$25$ is equivalent to the expression $(\sqrt{25})^{2}$

Hence, Option b is the correct answer.

Option c: $\sqrt{5}$

$\sqrt{5}$ is not equivalent to the expression $(\sqrt{25})^{2}$

Hence, Option c is not the correct answer.

Option d: $5^{2}$

$5^{2}=25$

Thus, $5^{2}$ is equivalent to the expression $(\sqrt{25})^{2}$

Hence, Option d is the correct answer.

Thus, the expression $(\sqrt{25})^{2}$ can be rewritten as $25$ and $5^{2}$

Hence, Option b and Option c are the correct answers.