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To evaluate 43/2 find A) the square of 4 and then take the cube root. B) the cube of 4 and then take the square root. C) the square root of 2 times the cube root of 4. Eliminate D) the cube root of 4 and then take the square root.

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sqdancefan

Answer:

  B) the cube of 4 and then take the square root

Step-by-step explanation:

43/2 = 21.5

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The answer choices suggest you want ...

  4^(3/2) . . . . . . . appropriate math symbols are very helpful

This can be evaluated several ways:

  [tex]4^{\frac{3}{2}}=\sqrt{4^3}=(\sqrt{4})^3=10^{\frac{3}{2}\log{4}}\\\\=8[/tex]

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Since the 3 is in the numerator of the fraction, it represents a cube, not a cube root. Any of the answer choices suggesting cube root is involved are incorrect. (Eliminating those leaves only the correct answer choice.)

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