To solve the equation [tex]\(\square^2 = \sqrt{64}\)[/tex], let's follow a step-by-step approach:
1. Find the value of [tex]\(\sqrt{64}\)[/tex]:
[tex]\[
\sqrt{64} = 8
\][/tex]
2. Rewrite the equation with the value of [tex]\(\sqrt{64}\)[/tex]:
[tex]\[
\square^2 = 8
\][/tex]
3. Solve for [tex]\(\square\)[/tex] by taking the square root of both sides of the equation:
[tex]\[
\square = \sqrt{8}
\][/tex]
So, the number that, when placed in the box, will make the equation [tex]\(\square^2 = \sqrt{64}\)[/tex] true is [tex]\(\sqrt{8}\)[/tex].
The correct answer is:
A. [tex]\(\sqrt{8}\)[/tex]
