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Find the least number of four digits that is a perfect square. - Mathematics

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Question

Find the least number of four digits that is a perfect square.

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Sum

Solution

As we know that the least number of four digit is 1000.

Let’s find the out the square root of 1000 by using long division method.

  32
3 `bar10` `bar00`
  9
62 100
  124
  – 24

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

= 1000 + 24

= 1024

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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 107. | Page 94

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