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Square Roots & Cube Roots · Discussion forum

Exam Pattern Mix Question 63 – answer, explanation & discussion

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Question 63 Back to Exercise

If √(x + 16) − √x = 2, find x.

  • A 16
  • B 4
  • C 25
  • D 9 Correct
Correct Answer: Option D

√(x + 16) = 2 + √x

Square: x + 16 = 4 + 4√x + x

12 = 4√x → √x = 3

x = 9

Check: √25 − √9 = 5 − 3 = 2 ✔

Answer: 9

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