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Find the Square Root the Following by Prime Factorization. 1764 - Mathematics

Find the square root  the following by prime factorization. 

 1764 

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Solution

Resolving 1764 into prime factors:
1764 = 2 x 2 x 3 x 3 x 7 x 7 

Grouping the factors into pairs of equal factors:
1764 = (2 x 2) x (3 x 3) x (7 x 7)
Taking one factor for each pair, we get the square root of 1764:
2 x 3 x 7 = 42

 

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APPEARS IN

RD Sharma Class 8 Maths
Chapter 3 Squares and Square Roots
Exercise 3.4 | Q 2.04 | Page 38
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