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GED Ready 8 - Mathematical Reasoning - Yassin Ndow
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Formula Sheet
Which number, when placed in the box, will make the equation true?

◻^(2)=sqrt64
A. 
sqrt8
B. 
sqrt32
C. 16
D. 32

Which number, when placed in the box, will make the equation true?\newline2=64 \square^{2}=\sqrt{64} \newlineA. 8 \sqrt{8} \newlineB. 32 \sqrt{32} \newlineC. 1616\newlineD. 3232

Full solution

Q. Which number, when placed in the box, will make the equation true?\newline2=64 \square^{2}=\sqrt{64} \newlineA. 8 \sqrt{8} \newlineB. 32 \sqrt{32} \newlineC. 1616\newlineD. 3232
  1. Simplify square root of 6464: We need to find a number that, when squared, equals the square root of 6464. Let's first simplify the square root of 6464.\newline64=8\sqrt{64} = 8, because 8×8=648 \times 8 = 64.
  2. Find square root of 88: Now we need to find a number that, when squared, equals 88. This means we are looking for the square root of 88, because (8)2=8(\sqrt{8})^2 = 8.
  3. Check given options: Let's check the options given to see which one, when squared, equals 88.\newlineOption A is 8\sqrt{8}, which when squared, gives us 88.\newlineOption B is 32\sqrt{32}, which when squared, gives us 3232.\newlineOption C is 1616, which when squared, gives us 256256.\newlineOption D is 3232, which when squared, gives us 10241024.
  4. Identify correct answer: From the above step, we can see that only Option A, when squared, equals 88. Therefore, Option A is the correct answer.

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