Asked by kj
Which irrational value represents the point on the number line?
A number line has evenly spaced tick marks labeled with integers from 1 to 5 and their equivalent square roots: 1 equals the square root of 1, 2 equals the square root of 4, 3 equals the square root of 9, and 4 equals the square root of 16. A closed circle is marked between 3 and 4 on the line, closer to 4 than to 3.
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The point is at sqrt(15).
Reason: the ticks at 3 and 4 are sqrt(9) and sqrt(16). A point between them closer to 4 corresponds to sqrt(n) with 9 < n < 16 and n closer to 16; the natural choice is n = 15. (sqrt(15) ≈ 3.873, which is much closer to 4 than to 3.)
Reason: the ticks at 3 and 4 are sqrt(9) and sqrt(16). A point between them closer to 4 corresponds to sqrt(n) with 9 < n < 16 and n closer to 16; the natural choice is n = 15. (sqrt(15) ≈ 3.873, which is much closer to 4 than to 3.)
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