Question

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

Answer 1

9514 1404 393

Answer:

  A. 2

Step-by-step 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.