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1/3√5-2√6 rationalise the denominator?
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1/3√5-2√6 rationalise the denominator?
Steps to Rationalize the Denominator:
1. Identify the Denominator:
The given expression is 1/3√5-2√6. Here, the denominator is √5.
2. Multiply by the Conjugate:
To rationalize the denominator, we need to multiply both the numerator and denominator by the conjugate of the denominator. The conjugate of √5 is √5.
3. Multiply and Simplify:
(1/3√5-2√6) * (√5/√5)
= √5 / 15 - 2√30 / √5
4. Simplify Further:
(√5 / 15) - (2√30 / √5)
= √5 / 15 - 2√30 / √5
= (√5 * √5 - 2√30) / 15√5
= (5 - 2√30) / 15√5
5. Final Answer:
Therefore, the rationalized form of the given expression 1/3√5-2√6 is (5 - 2√30) / 15√5.
1. Identify the Denominator:
The given expression is 1/3√5-2√6. Here, the denominator is √5.
2. Multiply by the Conjugate:
To rationalize the denominator, we need to multiply both the numerator and denominator by the conjugate of the denominator. The conjugate of √5 is √5.
3. Multiply and Simplify:
(1/3√5-2√6) * (√5/√5)
= √5 / 15 - 2√30 / √5
4. Simplify Further:
(√5 / 15) - (2√30 / √5)
= √5 / 15 - 2√30 / √5
= (√5 * √5 - 2√30) / 15√5
= (5 - 2√30) / 15√5
5. Final Answer:
Therefore, the rationalized form of the given expression 1/3√5-2√6 is (5 - 2√30) / 15√5.
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1/3√5-2√6 rationalise the denominator?
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1/3√5-2√6 rationalise the denominator? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about 1/3√5-2√6 rationalise the denominator? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 1/3√5-2√6 rationalise the denominator?.
1/3√5-2√6 rationalise the denominator? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about 1/3√5-2√6 rationalise the denominator? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 1/3√5-2√6 rationalise the denominator?.
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