Question

Which of the following rational numbers is not between the square root of 3 and the square root of 6?
A. 1.8
B. √4
C. 1.5
D. 2

Answer 1

Can you explain in more detail?

Answer 2

what rubbish.
√3 = 1.732, so 2 is between √3 and 6

The answer is clearly C, since 1.5 is not between √3 and 6

Answer 3

The square root of 3 is approximately 1.732, and the square root of 6 is approximately 2.449.

A. 1.8 is between the square root of 3 and the square root of 6: 1.732 < 1.8 < 2.449.
B. The square root of 4 is 2, which is between the square root of 3 and the square root of 6: 1.732 < √4 < 2.449.
C. 1.5 is between the square root of 3 and the square root of 6: 1.732 < 1.5 < 2.449.
D. 2 is not between the square root of 3 and the square root of 6: 1.732 < 2.449 < 2.

Therefore, the rational number that is not between the square root of 3 and the square root of 6 is D. 2.

Answer 4

Sure! Let's go through each option one by one and determine if it falls between the square root of 3 and the square root of 6.

A. Option 1.8:

To check if 1.8 is between the square root of 3 and the square root of 6, we can compare these values:

Square root of 3 ≈ 1.732
Square root of 6 ≈ 2.449

Since 1.732 < 1.8 < 2.449, option A is between the square root of 3 and the square root of 6.

B. Option √4:

To check if the square root of 4 is between the square root of 3 and the square root of 6, we need to compare these values:

Square root of 3 ≈ 1.732
Square root of 6 ≈ 2.449

The square root of 4 is 2. Since 1.732 < 2 < 2.449, option B is between the square root of 3 and the square root of 6.

C. Option 1.5:

To check if 1.5 is between the square root of 3 and the square root of 6, we can compare these values:

Square root of 3 ≈ 1.732
Square root of 6 ≈ 2.449

Since 1.732 < 1.5 < 2.449, option C is between the square root of 3 and the square root of 6.

D. Option 2:

To check if 2 is between the square root of 3 and the square root of 6, we compare these values:

Square root of 3 ≈ 1.732
Square root of 6 ≈ 2.449

We have 1.732 < 2.449 < 2. Since 2.449 is larger than 2, option D is not between the square root of 3 and the square root of 6.

Therefore, the rational number that is not between the square root of 3 and the square root of 6 is option D, which is 2.

Answer 5

Apologies for the earlier mistake. You are correct.

The square root of 3 is approximately 1.732, and the square root of 6 is approximately 2.449.

Comparing the values:

1.732 < 1.5 < 2.449

Since 1.5 is not between the square root of 3 and the square root of 6, the correct answer is C.