Quant Exam > Quant Questions > a)2 -√3b)2 +√3c)16-√3d)14-&...
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- a)2 - √3
- b)2 + √3
- c)16 - √3
- d)14 - √3
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
a)2 -√3b)2 +√3c)16-√3d)14-√3e)None of theseCor...
Given expression:
[(2 + √3) / (2 - √3)] + [(2 - √3) / (2 + √3)] + [(√3 - 1) / (√3 + 1)]
- Simplify the first two terms:
- The denominator simplifies to 1.
- The numerator becomes 14.
- Result: 14.
- Simplify the third term:
- Rationalize the denominator to get 2 - √3.
- Add the results:
- 14 + (2 - √3) = 14 - √3.
Correct Answer: C: 14 - √3
Most Upvoted Answer
a)2 -√3b)2 +√3c)16-√3d)14-√3e)None of theseCor...
=2+√3/2-√3 +2-√3/2+√3 +√3-1/√3+1
=(2+√3)^2 +(2-√3)^2/2^2-√3^2 +√3-1/√3+1
=8+6/4-3+√3-1/√3+1
=14+(√3-1/√3+1)
=14√3+14+√3-1/√3+1
=15√3+13/√3+1
=(15√3+13)×√3-1/√3^2-1^2
=45 -15√3+13√3-13/3-1
=32-2√3/2
=16-√3
=(2+√3)^2 +(2-√3)^2/2^2-√3^2 +√3-1/√3+1
=8+6/4-3+√3-1/√3+1
=14+(√3-1/√3+1)
=14√3+14+√3-1/√3+1
=15√3+13/√3+1
=(15√3+13)×√3-1/√3^2-1^2
=45 -15√3+13√3-13/3-1
=32-2√3/2
=16-√3
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