Class 9 Exam > Class 9 Questions > Simplify 2√3/3 - √3/6?
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Simplify 2√3/3 - √3/6?
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Simplify 2√3/3 - √3/6?
Simplifying 2√3/3 - √3/6
Step 1: Find a common denominator
To simplify the given expression, we need to find a common denominator for the fractions involved. In this case, the common denominator is 6.
Step 2: Rewrite the fractions with the common denominator
Rewriting the fractions with the common denominator 6, we get:
2√3/3 = (2√3 * 2)/ (3 * 2) = 4√3/6
√3/6 = √3/6
Step 3: Subtract the fractions
Now, we can subtract the fractions:
4√3/6 - √3/6 = (4√3 - √3)/6 = 3√3/6 = √3/2
Final Answer: √3/2
By simplifying 2√3/3 - √3/6, we get the final result of √3/2. This simplification process involved finding a common denominator, rewriting the fractions with that denominator, and then subtracting the fractions to arrive at the simplified form.
Step 1: Find a common denominator
To simplify the given expression, we need to find a common denominator for the fractions involved. In this case, the common denominator is 6.
Step 2: Rewrite the fractions with the common denominator
Rewriting the fractions with the common denominator 6, we get:
2√3/3 = (2√3 * 2)/ (3 * 2) = 4√3/6
√3/6 = √3/6
Step 3: Subtract the fractions
Now, we can subtract the fractions:
4√3/6 - √3/6 = (4√3 - √3)/6 = 3√3/6 = √3/2
Final Answer: √3/2
By simplifying 2√3/3 - √3/6, we get the final result of √3/2. This simplification process involved finding a common denominator, rewriting the fractions with that denominator, and then subtracting the fractions to arrive at the simplified form.
Community Answer
Simplify 2√3/3 - √3/6?
Take LCM of 3 and 6Solve it Ans. √3/2
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Simplify 2√3/3 - √3/6?
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Simplify 2√3/3 - √3/6? 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 Simplify 2√3/3 - √3/6? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Simplify 2√3/3 - √3/6?.
Simplify 2√3/3 - √3/6? 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 Simplify 2√3/3 - √3/6? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Simplify 2√3/3 - √3/6?.
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