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Write the Prime Factorization of the Following Number and Hence Find Their Square Root. 5929

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Question

Write the prime factorization of the following number and hence find their square root. 

5929 

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Solution

 The prime factorisation of 5929:
5929 = 7 x 7 x 11 x 11
Grouping them into pairs of equal factors, we get:
5929 = (7\[\times\]7)\[\times\](11\[\times\]11)

Taking one factor from each pair, we get:
`sqrt(5929)=7xx11=77`

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Chapter 3: Squares and Square Roots - Exercise 3.4 [Page 38]

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RD Sharma Mathematics [English] Class 8
Chapter 3 Squares and Square Roots
Exercise 3.4 | Q 14.3 | Page 38

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