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Square Roots & Cube Roots · Discussion forum

Exam Pattern Mix Question 48 – answer, explanation & discussion

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Question 48 Back to Exercise

The sum of a number and its square root is 72. What is the number?

  • A 49
  • B 64 Correct
  • C 81
  • D 8
Correct Answer: Option B

Let √x = t: t² + t = 72

t² + t − 72 = 0 → (t + 9)(t − 8) = 0

t = 8 → x = 64

Answer: 64

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