Class 9 Exam > Class 9 Questions > Find the value of 3√12/6√27?
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Find the value of 3√12/6√27?
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Find the value of 3√12/6√27?
Calculating the Value of 3√12/6√27
Step 1: Simplifying the Radical Expressions
To find the value of 3√12/6√27, we need to simplify the radical expressions first.
√12 can be simplified as √(4 x 3) = 2√3
√27 can be simplified as √(9 x 3) = 3√3
Therefore, the expression becomes 3(2√3)/6(3√3).
Step 2: Simplifying the Numerator and Denominator
Now, we simplify the numerator and denominator separately.
Numerator: 3(2√3) = 6√3
Denominator: 6(3√3) = 18√3
Step 3: Dividing the Simplified Expressions
Now, we divide the simplified expressions:
6√3 / 18√3 = 6/18 = 1/3
Conclusion
Therefore, the value of 3√12/6√27 is 1/3.
Step 1: Simplifying the Radical Expressions
To find the value of 3√12/6√27, we need to simplify the radical expressions first.
√12 can be simplified as √(4 x 3) = 2√3
√27 can be simplified as √(9 x 3) = 3√3
Therefore, the expression becomes 3(2√3)/6(3√3).
Step 2: Simplifying the Numerator and Denominator
Now, we simplify the numerator and denominator separately.
Numerator: 3(2√3) = 6√3
Denominator: 6(3√3) = 18√3
Step 3: Dividing the Simplified Expressions
Now, we divide the simplified expressions:
6√3 / 18√3 = 6/18 = 1/3
Conclusion
Therefore, the value of 3√12/6√27 is 1/3.
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Find the value of 3√12/6√27?
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Find the value of 3√12/6√27? 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 Find the value of 3√12/6√27? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the value of 3√12/6√27?.
Find the value of 3√12/6√27? 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 Find the value of 3√12/6√27? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the value of 3√12/6√27?.
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