Class 9 Exam > Class 9 Questions > Write in ascending order 6√6 ,3√7 ,4√8 ?
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Write in ascending order 6√6 ,3√7 ,4√8 ?
Most Upvoted Answer
Write in ascending order 6√6 ,3√7 ,4√8 ?
Arranging in Ascending Order: 6√6, 3√7, 4√8
Explanation:
- Rationalizing the Denominator: To compare the given numbers, we need to rationalize the denominators first.
- Rationalizing 6√6: We can write 6√6 as 6 × √(6) = 6 × √(2 × 3) = 6√2 × √3. Therefore, the rationalized form of 6√6 is 6√2 × √3.
- Rationalizing 3√7: We can write 3√7 as √(9 × 7) = 3√(7). Therefore, the rationalized form of 3√7 is 3√7.
- Rationalizing 4√8: We can write 4√8 as 4 × √(8) = 4 × √(4 × 2) = 4√4 × √2 = 4 × 2√2 = 8√2. Therefore, the rationalized form of 4√8 is 8√2.
- Comparing: Now, we can compare the numbers. Since √2 < √3="" />< √7,="" we="" can="" compare="" the="" />
- Final Order: Therefore, the ascending order of the given numbers is: 3√7, 6√2 × √3, 8√2.
Community Answer
Write in ascending order 6√6 ,3√7 ,4√8 ?
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Write in ascending order 6√6 ,3√7 ,4√8 ?
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Write in ascending order 6√6 ,3√7 ,4√8 ? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Write in ascending order 6√6 ,3√7 ,4√8 ? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Write in ascending order 6√6 ,3√7 ,4√8 ?.
Write in ascending order 6√6 ,3√7 ,4√8 ? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Write in ascending order 6√6 ,3√7 ,4√8 ? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Write in ascending order 6√6 ,3√7 ,4√8 ?.
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