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Find the Square Root the Following by Prime Factorization. 27225 - Mathematics

Find the square root  the following by prime factorization. 

27225

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Solution

 Resolving 27225 into prime factors:
27225 = 3 x 3 x 5 x 5 x 11 x 11

Grouping the factors into pairs of equal factors:
27225 = (3 x 3) x (5 x 5) x (11 x 11)
Taking one factor for each pair, we get the square root of 27225:
3 x 5 x 11 = 165

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APPEARS IN

RD Sharma Class 8 Maths
Chapter 3 Squares and Square Roots
Exercise 3.4 | Q 2.14 | Page 38
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