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Find the Smallest Number by Which 12748 Be Mutliplied So that the Product is a Perfect Square? - Mathematics

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Sum

Find the smallest number by which 12748 be mutliplied so that the product is a perfect square?

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Solution

12748 = `bar(2xx2) xx 3187`

On grouping the prime factors of 12748 as shown; one factor i.e. 3187 is left which cannot be paired with equal factor.

2 12748
2 6374
  3187

 

 

 

The given number should be multiplied by 3187.

Concept: Finding Square Root Through Prime Factorisation
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APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 3 Squares and Square Root
Exercise 3 (A) | Q 3.2 | Page 38
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