Answered

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Which number, when placed in the box, will make the equation true?

[tex] \square^2 = \sqrt{64} [/tex]

A. [tex] \sqrt{8} [/tex]
B. [tex] \sqrt{32} [/tex]
C. 16
D. 32

Sagot :

GinnyAnswer
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]
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