Question:
What smallest number should be subtracted from 81025 to get a perfect square number?
What smallest number should be subtracted from 81025 to get a perfect square number?
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Find nearest perfect square below the number
Updated On: Apr 21, 2026
- 238
- 0
- 369
- 25
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The Correct Option is C
Solution and Explanation
Step 1: Find approximate square root of 81025.
\(284^2 = 80656\), \(285^2 = 81225\).
Since \(80656<81025<81225\), the nearest perfect square below 81025 is \(284^2\). Step 2: Compute the difference.
\(81025 - 284^2 = 81025 - 80656 = 369\). Step 3: Verify.
\(81025 - 369 = 80656 = 284^2\), a perfect square.
\(284^2 = 80656\), \(285^2 = 81225\).
Since \(80656<81025<81225\), the nearest perfect square below 81025 is \(284^2\). Step 2: Compute the difference.
\(81025 - 284^2 = 81025 - 80656 = 369\). Step 3: Verify.
\(81025 - 369 = 80656 = 284^2\), a perfect square.
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