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Mr. Hansraj wants to find the least number of boxes to be added to get a perfect square. He already has boxes with him. How many more boxes are required?
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Q. Mr. Hansraj wants to find the least number of boxes to be added to get a perfect square. He already has boxes with him. How many more boxes are required?
- Find Perfect Square: Determine the nearest perfect square greater than the current number of boxes.Mr. Hansraj has boxes. To find the nearest perfect square, we need to calculate the square root of and then round up to the nearest whole number. (since )The next whole number is , and the square of is .
- Calculate Difference: Calculate the difference between the nearest perfect square and the current number of boxes.To find out how many more boxes are needed, we subtract the current number of boxes from the nearest perfect square.
- Verify Result: Verify the result to ensure no mathematical errors were made.We found that Mr. Hansraj needs more boxes to reach a perfect square of . To verify, we add to and check if the result is indeed a perfect square.Now, we check if is a perfect square by finding its square root.Since is a whole number, is a perfect square, confirming our result.
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