QQuestionMathematics
QuestionMathematics
Which two numbers are closest to the square root of 58?
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Answer
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Step 1:I'll solve this step by step using the specified LaTeX formatting guidelines:
Step 2:: Identify the square root of 58
\sqrt{58} \approx 7.616
Step 3:: Find the two integers surrounding this value
- The integers below and above $$\sqrt{58}$$ are 7 and 8
Step 4:: Calculate the squares of these integers
- $$7^{2} = 49
- 8^{2} = 64
Step 5:: Verify proximity to 58
- $$49$$ is $$9$$ less than $$58
- 64 is 6 more than 58
Step 6:: Determine which is closer
- $$8$$ is closer to $$\sqrt{58}$$ than $$7
- |64 - 58| = 6
Final Answer
The two numbers closest to the square root of 58 are 7 and 8, with 8 being the closer integer.
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