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Pearson VUE - It's time to te: OnVUE System Test Downlos abe-prd $-4$ .pearsonvue.com/hs $1$ /driver/startDelivery? sessionUUiID=d $386$ GED Ready $\newline$ ® - Mathematical Reasoning - Yassin Ndow $\newline$ ✓ Highilight (j) $\newline$ Formula Sheet $\newline$ Which number, when placed in the box, will make the equation true? $\newline$ $\Box^{2}=\sqrt{64}$ $\newline$ A. $\sqrt{8}$ $\newline$ B. $\sqrt{32}$ $\newline$ C. $16$ $\newline$ D. $32$

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Simplify radical expressions with variables II

Full solution

Q. Pearson VUE - It's time to te: OnVUE System Test Downlos abe-prd

-4

.pearsonvue.com/hs

1

/driver/startDelivery? sessionUUiID=d

386

GED Ready

\newline

® - Mathematical Reasoning - Yassin Ndow

\newline

✓ Highilight (j)

\newline

Formula Sheet

\newline

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

\newline

\Box^{2}=\sqrt{64}

\newline

A.

\sqrt{8}

\newline

B.

\sqrt{32}

\newline

C.

16

\newline

D.

32

Given Equation: We are given the equation $◻^{2} = \sqrt{64}$ . To find the number that fits in the box, we need to understand that $◻^{2}$ means the square of the number in the box, and $\sqrt{64}$ is the square root of $64$ . We know that the square root of $64$ is $8$ , because $8 \times 8 = 64$ .
Understanding the Equation: Now that we know $\sqrt{64}$ is $8$ , we can rewrite the equation as $\Box^{2} = 8$ . To find the number that fits in the box, we need to find a number that, when squared, equals $8$ . However, we notice that none of the options given are simply $8$ . Instead, they are either square roots or whole numbers. We need to find which of these options, when squared, will give us $8$ .
Rewriting the Equation: Let's evaluate each option: $\newline$ A. $\sqrt{8}$ squared is $8$ , because $(\sqrt{8})^2 = 8$ . $\newline$ B. $\sqrt{32}$ squared is $32$ , because $(\sqrt{32})^2 = 32$ . $\newline$ C. $16$ squared is $256$ , because $16^2 = 256$ . $\newline$ D. $32$ squared is $8$ $0$ , because $8$ $1$ . $\newline$ We are looking for the option that, when squared, equals $8$ .
Evaluating Options: From the calculations above, we can see that option A, $\sqrt{8}$ , when squared, equals $8$ . This matches our equation $\square^{2} = 8$ . Therefore, the correct answer is A. $\sqrt{8}$ .

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