Which of the following rational numbers is not between 3–√ and 6–√
?(1 point)
Responses
1.8
1 point 8
4–√
square root of 4
1.5
1 point 5
2
4–√
To determine which of the given rational numbers is not between 3–√ and 6–√, we need to compare each number to the range defined by 3–√ and 6–√.
Let's simplify 3–√:
3–√ = 3 - √(√)
Similarly, let's simplify 6–√:
6–√ = 6 - √(√)
Now, let's compare each given number to this range:
1.8: 1.8 is less than 3–√ (approximately 1.732). So, 1.8 is not between 3–√ and 6–√.
4–√: √(4) = 2, which is greater than 3–√ and less than 6–√. So, 4–√ (approximately 2.828) is between 3–√ and 6–√.
1.5: 1.5 is less than 3–√. So, 1.5 is not between 3–√ and 6–√.
2: 2 is greater than 3–√ and less than 6–√. So, 2 is between 3–√ and 6–√.
From the given options, the number that is not between 3–√ and 6–√ is 1.8.