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Find the Square Root Of: Sqrt(108 Xx 2028) - Mathematics

Sum

Find the square root of: `sqrt(108 xx 2028)`

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Solution

`sqrt(108 xx 2028)`

= `sqrt(219024)`

  468
4 219024
16
86 590
516
928 7424
7424
  x

 

 

 

 

 

 

 

 

Hence, `sqrt(108 xx 2028)` = 468

OR

`sqrt(108 xx 2028)`

2 108
2 54
3 27
3 9
3 3
  1

 

 

 

 

 

 

 

2 2028
2 1014
3 507
13 169
13 13
  1

 

 

 

 

 

 

 

= `sqrt(2 xx 2 xx 3 xx 3 xx 3 xx 2 xx 2 xx 3 xx 13 xx 13)`

= `sqrt(2 xx 2 xx 2 xx 2 xx 3 xx 3 xx 3 xx 3 xx 13 xx13)`

= 2 x 2 x 3 x 13 = 468

  Is there an error in this question or solution?
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APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 3 Squares and Square Root
Exercise 3 (B) | Q 9.3 | Page 42
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