Find the sum and then classify it.

Question

56+91−−√
(1 point)
Responses

91.83¯¯¯
, rational
91 point 8 repeating 3, rational

9.58297100…
, irrational
9 point 5 8 2 9 7 1 0 0 dots, irrational

10.3727253…
, irrational
10 point 3 7 2 7 2 5 3 dots, irrational

10.3¯¯¯
, rational

Answer 1

To find the sum of $56+\sqrt{91}$, we first need to calculate the value of $\sqrt{91}$.

Using a calculator or performing the calculation, we have:

$$\sqrt{91}\approx 9.539392$$

Now, we'll compute the total:

$$56+\sqrt{91}\approx 56+9.539392\approx 65.539392$$

Next, we need to classify the result. The sum $65.539392$ is approximately 65.54, which is a terminating decimal, and thus it is rational.

Since the square root of $91$ is an irrational number, $56+\sqrt{91}$ (which is a sum of a rational number and an irrational number) will also be irrational. Therefore, instead of the approximate decimal, we focus on the classification.

Looking through the possible responses, here is the classification:

• The sum $56+\sqrt{91}$ is irrational.

So, the correct response among the options is:

9.58297100…, irrational This is the closest option, though please note that the original sum calculates closer to $65.54$ when rounded, not $9.58297...$.

The best response to provide clarity to your request is:

65.54..., irrational.