Which of the following rational numbers is not between 3–√ and 6–√
Responses
1.8
1 point 8
4–√
square root of 4
1.5
1 point 5
2
2
The rational number that is not between 3–√ and 6–√ is 2.
To determine which rational number is not between 3–√ and 6–√, we need to find the decimal approximations of these two irrational numbers.
3–√ ≈ 3–1.732 ≈ 1.268
6–√ ≈ 6–2.449 ≈ 3.551
Now let's compare these approximations to the given rational numbers:
1.8 < 1.268 (not between)
4–√ ≈ 2 > 1.268 (between)
1.5 < 1.268 (not between)
2 < 1.268 (not between)
So the rational number that is not between 3–√ and 6–√ is 1.8.