Let’s find square root of 36 using Prime factorization

 

First, we do prime factorization of 36

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36 = 2 × 2 × 3 × 3

Now,

we make groups of two

 

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So,

  Square root of 36 = 2 × 3

       = 6

 

Square root of 49

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So, Square root of 49 = 7

 

Square root of 64

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So, Square root of 64 = 2 × 2 × 2

    = 8

 

Square root of 324

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So, Square root of 64 = 2 × 3 × 3

    = 18

 

Thus,

  Smallest number multiplied = 2 × 5 = 10

&       Number = 900 is a perfect square

&       Square root of number = 30

  1. Chapter 6 Class 8 Squares and Square Roots
  2. Concept wise
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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.