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Find the greatest number of three digits that is a perfect square. - Mathematics

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Question

Find the greatest number of three digits that is a perfect square.

Chart
Sum

Solution

As we know that the least number of four digit is 999.

Let's find the out the square root of 999 by using long division method.

  31
3 `bar9` `bar99`
  9
61    99
     61
     38

Hence, the least number of four digits that is a perfect square

= 999 – 38

= 961

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Chapter 3: Square-Square Root and Cube-Cube Root - Exercise [Page 94]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 3 Square-Square Root and Cube-Cube Root
Exercise | Q 108. | Page 94

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