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Find the rational number between root 2 and root 7?
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Find the rational number between root 2 and root 7?
Introduction:
To find a rational number between √2 and √7, we can use the concept of fractions and square roots.
Steps to find a rational number:
1. Express the square roots as fractions:
- √2 can be expressed as 1.41 (approx.) or as a fraction 1.41/1.
- √7 can be expressed as 2.65 (approx.) or as a fraction 2.65/1.
2. Find a rational number between these fractions:
- To find a rational number between 1.41 and 2.65, we can take the average of these two fractions.
- Average of 1.41 and 2.65 = (1.41 + 2.65) / 2 = 4.06 / 2 = 2.03.
3. Convert the average to a fraction:
- 2.03 can be expressed as a fraction 2.03/1.
4. Conclusion:
- Therefore, the rational number between √2 and √7 is 2.03.
By following these steps, we can easily find a rational number between two given square roots.
To find a rational number between √2 and √7, we can use the concept of fractions and square roots.
Steps to find a rational number:
1. Express the square roots as fractions:
- √2 can be expressed as 1.41 (approx.) or as a fraction 1.41/1.
- √7 can be expressed as 2.65 (approx.) or as a fraction 2.65/1.
2. Find a rational number between these fractions:
- To find a rational number between 1.41 and 2.65, we can take the average of these two fractions.
- Average of 1.41 and 2.65 = (1.41 + 2.65) / 2 = 4.06 / 2 = 2.03.
3. Convert the average to a fraction:
- 2.03 can be expressed as a fraction 2.03/1.
4. Conclusion:
- Therefore, the rational number between √2 and √7 is 2.03.
By following these steps, we can easily find a rational number between two given square roots.
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Find the rational number between root 2 and root 7?
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Find the rational number between root 2 and root 7? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Find the rational number between root 2 and root 7? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the rational number between root 2 and root 7?.
Find the rational number between root 2 and root 7? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Find the rational number between root 2 and root 7? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the rational number between root 2 and root 7?.
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