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Find the Square Root the Following by Prime Factorization. 47089 - Mathematics

Find the square root  the following by prime factorization.  

 47089

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Solution

 Resolving 47089 into prime factors:
47089 = 7 x 7 x 31 x 31 

Grouping the factors into pairs of equal factors:
47089 = (7 x 7) x (31 x 31)
Taking one factor for each pair, we get the square root of 47089:
7 x 31 = 217

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

RD Sharma Class 8 Maths
Chapter 3 Squares and Square Roots
Exercise 3.4 | Q 2.1 | Page 38
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