Problem

Question 7 (Mandatory) (1 point)
Which of the following expresses $-\sqrt{8} \times \frac{1}{2} \sqrt{32}$ in simplest form?
a) $-8 \sqrt{2}$
b) -8
c) $2 \sqrt{64}$
d) $4 \sqrt{8}$
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Answer

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Answer

Final Answer: \(\boxed{-8}\)

Steps

Step 1 :Simplify each square root separately. The square root of 8 can be simplified to \(2\sqrt{2}\), and the square root of 32 can be simplified to \(4\sqrt{2}\).

Step 2 :Substitute the simplified square roots into the expression, which becomes \(-2\sqrt{2} \times \frac{1}{2} \times 4\sqrt{2}\).

Step 3 :Multiply these together to get the final answer.

Step 4 :The simplest form of the expression \(-\sqrt{8} \times \frac{1}{2} \sqrt{32}\) is \(-8\).

Step 5 :Final Answer: \(\boxed{-8}\)

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