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Evaluate the root without using a calculator, or note that the root isn't a real number.

Evaluate the root without using a calculator, or note that the root isn't a real number-example-1
User Sergnsk
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1 Answer

2 votes

9514 1404 393

Answer:

A. 2

Explanation:

When you don't know if a number like 256 is a power of anything, it can work reasonably well to start by simply dividing by the factors you know.

  • 256/2 = 128
  • 128/2 = 64
  • 64/2 = 32
  • 32/2 = 16
  • 16 = 2^4, so 256 = 2^4 · 2 · 2 · 2 · 2 = 2^8

The 8th root of 2^8 is 2, choice A.

User Guillaume Gris
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