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Find the Smallest Number by Which 27783 Be Multiplied to Get a Perfect Square Number. - Mathematics

Sum

Find the smallest number by which 27783 be multiplied to get a perfect square number.

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Solution

3 27783
3 9261
3 3087
3 1029
7 343
7 49
7 7
  1

 

 

 

 

 

 

 

 

= 3 x 3 x 3 x 3 x 7 x 7 x 7
= (3 x 3 x 3) x (7 x 7 x 7) x 3
Clearly, 27783 must be multiplied by 3 x 3
= 9

Concept: Concept of Cube Root
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APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 4 Cubes and Cube Roots
Exercise 4 (A) | Q 9 | Page 48
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