The value of 5√(3) + 7√(2) - √(6)
is:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e 12.
| Understanding/Application |
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5√(3) + 7√(2) - √(6) - (23/√2 + √3 + √6) {5√(3) x (√2 + √3 + √6) + 7√(2) x (√2 + √3 + √6) - √(6) x (√2 + √3 + √6) - 23}/(√2 + √3 + √6) = (5√6 + 15 + 15√2 + 14 + 7√6 + 14√3 - 2√3 - 3√2 - 6 - 23)/(√2 + √3 + √6) =(12√6 + 12√2 + 12√3)/(√2 + √3 + √6) = 12((√6 + √2 + √3)/(√2 + √3 + √6) = 12 |