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Find the Smallest Number Which Must Be Added to 2300 So that It Becomes a Perfect Square.

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Question

Find the smallest number which must be added to 2300 so that it becomes a perfect square.

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Solution

To find the square root of 2300, we use the long division method: 

23000 is 4 (704 − 700) less than 482. Hence, 4 must be added to 2300 to get a perfect square.

 

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Chapter 1: A Squares - Exercise 3.5 [Page 44]

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R.D. Sharma Mathematics Volume 1 and 2 [English] Class 8
Chapter 1 A Squares
Exercise 3.5 | Q 12 | Page 44

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