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Question
The value of `sqrt (-sqrt(3) + sqrt(3 + 8 sqrt((7 + 4) sqrt3)))` is
Options
2
4
±2
−2
MCQ
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Solution
2
Explanation:
`sqrt (-sqrt(3) + sqrt(3 + 8 sqrt((7 + 4) sqrt2)))`
⇒ `sqrt (-sqrt(3) + sqrt(3 + 8 (2 + sqrt3)`
⇒ `sqrt (-sqrt(3) + sqrt(19 + 8 sqrt3`
⇒ `sqrt(-sqrt(3) + 4 +sqrt3)`
⇒ `sqrt4`
= 2
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Simplification (Entrance Exam)
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