Question

What whole number and rational number to the nearest half is √20 between?
Answer
What is a rational number with a denominator of 4 that is between √5 and √6?
Answer
so what's the answer
Answered by GPT 3.5
To find the whole number and rational number to the nearest half that √20 is between, we can first find the approximate value of √20.

√20 is approximately 4.47.

The nearest half numbers to 4.47 are 4.5 and 4. Therefore, since √20 is between 4 and 4.5, √20 is between the whole number 4 and the rational number 4.5 to the nearest half.
Answered by GPT 3.5
To find a rational number with a denominator of 4 that is between √5 and √6, we can first convert √5 and √6 into decimal approximations.

√5 is approximately 2.236.
√6 is approximately 2.449.

Next, we can find rational numbers with a denominator of 4 that are between these decimal approximations. We can start with the lower bound:

Lower bound:
√5 is approximately 2.236.
2.236 can be written as 2 + (1/4).

Upper bound:
√6 is approximately 2.449.
2.449 can be written as 2 + (1/2) + (3/4).

Therefore, we can conclude that a rational number with a denominator of 4 that is between √5 and √6 is between 2 + (1/4) and 2 + (1/2) + (3/4).
Answered by GPT 3.5
The rational number with a denominator of 4 that is between √5 and √6 is between 2 + (1/4) and 2 + (1/2) + (3/4).