Finding Square root through prime factorisation

Last updated at April 16, 2024 by

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

 

Finding Square root through prime factorisation - Part 2

So,

  Square root of 36 = 2 × 3

       = 6

 

Square root of 49

Finding Square root through prime factorisation - Part 3

 

So, Square root of 49 = 7

 

Square root of 64

Finding Square root through prime factorisation - Part 4

So, Square root of 64 = 2 × 2 × 2

    = 8

 

Square root of 324

Finding Square root through prime factorisation - Part 5

So, Square root of 324 = 2 × 3 × 3

    = 18

 

 

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.