UPSC Exam > UPSC Questions > Simplify the following by rationalising 6-4√3...
Start Learning for Free
Simplify the following by rationalising 6-4√3/6+4√3?
Most Upvoted Answer
Simplify the following by rationalising 6-4√3/6+4√3?
Step-by-step Explanation:
Given expression:
6 - 4√3 / 6 + 4√3
Rationalizing the denominator:
To simplify the given expression, we need to rationalize the denominator by multiplying both the numerator and the denominator by the conjugate of the denominator.
Conjugate of the denominator:
The conjugate of 6 + 4√3 is 6 - 4√3.
Multiplying the numerator and denominator by the conjugate:
((6 - 4√3) / (6 + 4√3)) * ((6 - 4√3) / (6 - 4√3))
= (36 - 24√3 - 24√3 + 48) / (36 - 24√3 + 24√3 - 48)
= (84 - 48√3) / (36 - 48)
= (84 - 48√3) / (-12)
= -7 + 4√3
Therefore, the simplified form of the given expression is -7 + 4√3.
Given expression:
6 - 4√3 / 6 + 4√3
Rationalizing the denominator:
To simplify the given expression, we need to rationalize the denominator by multiplying both the numerator and the denominator by the conjugate of the denominator.
Conjugate of the denominator:
The conjugate of 6 + 4√3 is 6 - 4√3.
Multiplying the numerator and denominator by the conjugate:
((6 - 4√3) / (6 + 4√3)) * ((6 - 4√3) / (6 - 4√3))
= (36 - 24√3 - 24√3 + 48) / (36 - 24√3 + 24√3 - 48)
= (84 - 48√3) / (36 - 48)
= (84 - 48√3) / (-12)
= -7 + 4√3
Therefore, the simplified form of the given expression is -7 + 4√3.
Attention UPSC Students!
To make sure you are not studying endlessly, EduRev has designed UPSC study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in UPSC.
|
Explore Courses for UPSC exam
|
|
Similar UPSC Doubts
Top Courses for UPSCView all
Simplify the following by rationalising 6-4√3/6+4√3?
Question Description
Simplify the following by rationalising 6-4√3/6+4√3? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Simplify the following by rationalising 6-4√3/6+4√3? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Simplify the following by rationalising 6-4√3/6+4√3?.
Simplify the following by rationalising 6-4√3/6+4√3? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Simplify the following by rationalising 6-4√3/6+4√3? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Simplify the following by rationalising 6-4√3/6+4√3?.
Solutions for Simplify the following by rationalising 6-4√3/6+4√3? in English & in Hindi are available as part of our courses for UPSC.
Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of Simplify the following by rationalising 6-4√3/6+4√3? defined & explained in the simplest way possible. Besides giving the explanation of
Simplify the following by rationalising 6-4√3/6+4√3?, a detailed solution for Simplify the following by rationalising 6-4√3/6+4√3? has been provided alongside types of Simplify the following by rationalising 6-4√3/6+4√3? theory, EduRev gives you an
ample number of questions to practice Simplify the following by rationalising 6-4√3/6+4√3? tests, examples and also practice UPSC tests.
|
|
Explore Courses for UPSC exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup