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Find the Least Number Which Must Be Subtracted from 1205 So that the Resulting Number is a Perfect Square. - Mathematics

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Sum

Find the least number which must be subtracted from 1205 so that the resulting number is a perfect square.

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Solution

Clearly, if 49 is subtracted from 1205, the number will be a perfect square.

  34
3 1205
9
64 305
256
  49

 

 

 

 

 

 

∴ 1205 - 49 = 1156 and `sqrt(1156)` = 34

Concept: Finding Square Root by Division Method
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APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 3 Squares and Square Root
Exercise 3 (B) | Q 11 | Page 43
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