UPSC Exam > UPSC Questions > Rationalise 1. 4/ 4-2√3?
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Rationalise
1. 4/ 4-2√3?
1. 4/ 4-2√3?
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Rationalise 1. 4/ 4-2√3?
How to Rationalize 4/(4-2√3)?
Understanding the Problem:
- We are given the expression 4/(4-2√3) and we need to rationalize the denominator.
Rationalizing the Denominator:
Step 1: Multiply both the numerator and denominator by the conjugate of the denominator.
- The conjugate of 4-2√3 is 4+2√3.
Step 2: Multiply the expression by the conjugate:
- (4/(4-2√3)) * ((4+2√3)/(4+2√3))
Step 3: Simplify the expression by multiplying:
- = (16 + 8√3) / ((4^2) - (2√3)^2)
- = (16 + 8√3) / (16 - 12)
- = (16 + 8√3) / 4
- = 4 + 2√3
Final Answer:
- The rationalized form of 4/(4-2√3) is 4 + 2√3.
Understanding the Problem:
- We are given the expression 4/(4-2√3) and we need to rationalize the denominator.
Rationalizing the Denominator:
Step 1: Multiply both the numerator and denominator by the conjugate of the denominator.
- The conjugate of 4-2√3 is 4+2√3.
Step 2: Multiply the expression by the conjugate:
- (4/(4-2√3)) * ((4+2√3)/(4+2√3))
Step 3: Simplify the expression by multiplying:
- = (16 + 8√3) / ((4^2) - (2√3)^2)
- = (16 + 8√3) / (16 - 12)
- = (16 + 8√3) / 4
- = 4 + 2√3
Final Answer:
- The rationalized form of 4/(4-2√3) is 4 + 2√3.
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Rationalise 1. 4/ 4-2√3?
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Rationalise 1. 4/ 4-2√3? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Rationalise 1. 4/ 4-2√3? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Rationalise 1. 4/ 4-2√3?.
Rationalise 1. 4/ 4-2√3? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Rationalise 1. 4/ 4-2√3? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Rationalise 1. 4/ 4-2√3?.
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