9514 1404 393
Answer:
see below
Step-by-step explanation:
This question is easily answered using your calculator. You can also do some estimation.
√26 is a little more than 5, so 2/3 of 5 is 10/3 ≈ 3.3. A little more is 3.4.
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3√5 is about 3 times 2.23 or 6.69. The value 6.71 is real close.
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1.75π is about 7/4 × 22/7 = 22/4 = 5.5
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√111 is √(100·(1 +0.11)) ≈ 10·(1 +0.11/2) ≈ 10.55. Half that is about 5.275, close to 5.27.
(With some experience, you learn that the percentage change in a root is about half the percentage change in the value being rooted. Here an 11% increase in the value being rooted results in approximately a 5.5% increase in the root. The smaller the percentage, the better this approximation is.)
