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```        Find all six digited natural numbers abcd66 which are perfect
squares.```
7 years ago

SHAIK AASIF AHAMED
74 Points
```										Hello student,Please find the answer to your question belowNumber format is :abcd66 . Now it should be between 100066 to 999966 .So number should lie between 316 and 999 . (app root of above number .)Now we can write this as (a*100 + b)2 ,where b is less than 100.Now it will totally depend on b .We know that from 1 to 100 , square of no number ends with 66 .because unit digit is 6 means that number should end with 4 or 6 .square of numbers ending with 4 or 6 last 2 digit will 16 ,36,56,76 or 96 .So there is no number which is satisfying this criteria .Hope this would have cleared your doubt .
```
3 years ago
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