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Using Prime Factorization Method, Find Which of the Following Numbers Are Perfect Square? 189,

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Question

Using prime factorization method, find which of the following numbers are perfect square? 

189, 

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Solution

189 = 3 x 3 x 3 x 7 

 

Grouping them into pairs of equal factors:
189 = (3 x 3) x 3 x 7
The factors 3 and 7 cannot be paired. Hence, 189 is not a perfect square. 

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Chapter 3: Squares and Square Roots - Exercise 3.1 [Page 4]

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R.D. Sharma Mathematics [English] Class 8
Chapter 3 Squares and Square Roots
Exercise 3.1 | Q 6.1 | Page 4

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