9514 1404 393
Answer:
d. √16, 4.23_23, √18, 4 2/3
Step-by-step explanation:
There are a couple of different ways to compare these numbers. Maybe one of the most straightforward is to find the decimal equivalent, rounded to hundredths.
4.23_23 ≈ 4.23
4 2/3 ≈ 4.67
√18 ≈ 4.24
√16 = 4.00
These can be sorted least-to-greatest by putting the first number (4.23) between the last two (4.00, 4.24) and reading the new list last-to-first.
4.00, 4.23, 4.24, 4.67 ⇔ √16, 4.23..., √18, 4 2/3
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Additional comment
Another way to work this problem is to square the numbers not under a radical. 4.23...² ≈ 17.91 and (4 2/3)² ≈ 21.78. The ordering of the squares is the same as the ordering of their square roots.
16 < 17.91 < 18 < 21.78 ⇔ √16 < 4.23... < √18 < 4 2/3
