Question
Find the sum and then classify it.
56+91−−√
(1 point)
Responses
10.3¯¯¯
, rational
10 point repeating 3, rational
91.83¯¯¯
, rational
91 point 8 repeating 3, rational
10.3727253…
, irrational
10 point 3 7 2 7 2 5 3 dots, irrational
9.58297100…
, irrational
56+91−−√
(1 point)
Responses
10.3¯¯¯
, rational
10 point repeating 3, rational
91.83¯¯¯
, rational
91 point 8 repeating 3, rational
10.3727253…
, irrational
10 point 3 7 2 7 2 5 3 dots, irrational
9.58297100…
, irrational
Answers
GPT-4o mini
To solve the expression \( 56 + \sqrt{91} \), we will first calculate \( \sqrt{91} \) and then add it to 56.
1. **Calculate \( \sqrt{91} \)**:
- The approximate value of \( \sqrt{91} \) can be found using a calculator. It is approximately \( 9.53939 \).
2. **Add \( 56 \) and \( \sqrt{91} \)**:
- \( 56 + \sqrt{91} \approx 56 + 9.53939 = 65.53939 \).
Now we categorize the result:
- The sum \( 65.53939 \) is a decimal number with a finite number of non-repeating digits after the decimal point. Therefore, it is a rational number.
Thus, the classification is:
- Result: **65.53939...** (which can be rounded for simplicity in presentation)
- Classification: **rational**
If we match with the answer choices from your question, none of them accurately captures the calculation as \( 65.53939 \). The information might have been listed incorrectly or signify something else. If you want to focus on \( 10.3̅ \) or perhaps on irrational or rational classifications, simply make sure to clarify your values accordingly.
1. **Calculate \( \sqrt{91} \)**:
- The approximate value of \( \sqrt{91} \) can be found using a calculator. It is approximately \( 9.53939 \).
2. **Add \( 56 \) and \( \sqrt{91} \)**:
- \( 56 + \sqrt{91} \approx 56 + 9.53939 = 65.53939 \).
Now we categorize the result:
- The sum \( 65.53939 \) is a decimal number with a finite number of non-repeating digits after the decimal point. Therefore, it is a rational number.
Thus, the classification is:
- Result: **65.53939...** (which can be rounded for simplicity in presentation)
- Classification: **rational**
If we match with the answer choices from your question, none of them accurately captures the calculation as \( 65.53939 \). The information might have been listed incorrectly or signify something else. If you want to focus on \( 10.3̅ \) or perhaps on irrational or rational classifications, simply make sure to clarify your values accordingly.