Lesson eLearning

Which integer must be added to so that the resulting number is a perfect square? State the integer and the resulting perfect square.

easy MCQ 2 marks Class 10 · Mathematics · Real Numbers
  1. 20, 1520
  2. 21, 1521
  3. 22, 1524
  4. 23, 1529
Answer
21, 1521

The correct answer is 21, 1521 — Hence (21) must be added to get the perfect square (1521).

Step-by-step solution

  1. Compute (sqrt{1500}approx 38.73).
  2. The next integer is (39); (39^2=1521).
  3. Subtract (1500) from (1521) to find the required integer: (1521-1500=21).
  4. Hence (21) must be added to get the perfect square (1521).
Common mistake: Choosing a smaller square instead of the next one

Concept tested: Nearest perfect square above a number

Published · How this solution was prepared and checked

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