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Square Roots & Cube Roots · Discussion forum

Exam Pattern Mix Question 58 – answer, explanation & discussion

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Question 58 Back to Exercise

What is the least natural number x for which √(18 × 14 × x) is an integer?

  • A 7 Correct
  • B 14
  • C 2
  • D 3
Correct Answer: Option A

18 × 14 = 252 = 2² × 3² × 7

Only 7 is unpaired

x = 7 → 252 × 7 = 1,764 = 42²

Answer: 7

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