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Find the square root of: 5074107 - Mathematics

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Question

Find the square root of:

`(507)/(4107)`

Sum
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Solution

`(507)/(4107)`

GCD (greatest common divisor) of 507 and 4107.

507 = 3 × 169 = 3 × 13 × 13

4107 = 3 × 1369 = 3 × 37 × 37

`507/4107 = (3 xx 13^2)/(3 xx 37^2)`

Take the square root

`sqrt(13^2/37^2) = 13/37`

`13/37` or 0.352

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Chapter 3: Squares and Square Root - Exercise 3 (B) [Page 42]

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Selina Concise Mathematics [English] Class 8 ICSE
Chapter 3 Squares and Square Root
Exercise 3 (B) | Q 9.2 | Page 42
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