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Rationalise the denominator: (√7 + √2) / (√7 − √2) equals

Competition practiceNumber & Arithmetic
  • A(9 + 2√14)/5
  • B(9 − 2√14)/5
  • C9 + 2√14
  • D(5 + 2√14)/9

Step-by-Step Solution

Multiply by (√7 + √2)/(√7 + √2): numerator = 7 + 2 + 2√14 = 9 + 2√14, denominator = 7 − 2 = 5.
Answer: A) (9 + 2√14)/5

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