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After rationalising the denominator, what does (√7 + √3) / (√7 − √3) equal?

Competition practiceNumber & Arithmetic
  • A(5 + √21)/2
  • B(5 − √21)/2
  • C5 + √21
  • D(10 + √21)/4

Step-by-Step Solution

Multiply top and bottom by (√7 + √3): (7 + 3 + 2√21)/(7 − 3) = (10 + 2√21)/4 = (5 + √21)/2.
Answer: A) (5 + √21)/2

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