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Rationalise the denominator and simplify: (√7 + √5) / (√7 − √5)

Competition practiceNumber & Arithmetic
  • A6 + √35
  • B6 − √35
  • C12 + √35
  • D6 + 2√35

Step-by-Step Solution

Multiply top and bottom by (√7 + √5): (7 + 2√35 + 5)/(7 − 5) = (12 + 2√35)/2 = 6 + √35.
Answer: A) 6 + √35

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