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Find the Square Root the Following by Prime Factorization. 529 - Mathematics

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Question

Find the square root  the following by prime factorization. 

529 

Solution

Resolving 529 into prime factors:
529 = 23 x 23

 

Grouping the factors into pairs of equal factors:
529= (23 x 23)
Taking one factor for each pair, we get the square root of 529 as 23.

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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 2.03 | Page 38

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