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Hansraj wants to find the least number of boxes to be added to get a perfect square. He already has 79247924 boxes with him. How many more boxes are required?

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Full solution

Q. Hansraj wants to find the least number of boxes to be added to get a perfect square. He already has 79247924 boxes with him. How many more boxes are required?
  1. Identify Perfect Square: Identify the nearest perfect square greater than 79247924. Calculate the square root of 79247924. 7924≈89.01\sqrt{7924} \approx 89.01 Round up to the nearest whole number because we need a perfect square greater than 79247924. Next whole number = 9090
  2. Calculate Square Root: Calculate the square of 9090 to find the next perfect square.\newline902=810090^2 = 8100
  3. Calculate Next Perfect Square: Determine how many more boxes are needed to reach this perfect square.\newlineRequired boxes = 8100−79248100 - 7924\newlineRequired boxes = 176176

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