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Given a = 4 − √15, find the value of a + 1/a.

Competition practiceNumber & Arithmetic
  • A8
  • B2√15
  • C4
  • D8 − 2√15

Step-by-Step Solution

(4 − √15)(4 + √15) = 16 − 15 = 1, so 1/a = 4 + √15. Then a + 1/a = (4 − √15) + (4 + √15) = 8.
Answer: A) 8

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