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Thought-Process to Discover Knowledge

Welcome to nubtrek.

Books and other education websites provide "matter-of-fact" knowledge. Instead, nubtrek provides a thought-process to discover knowledge.

In each of the topic, the outline of the thought-process, for that topic, is provided for learners and educators.

Read in the blogs more about the unique learning experience at nubtrek.continue
mathsExponentsSquares and Square Roots

Finding Square Root by factors method

In this page, finding square root using prime factorization, is introduced in a simple thought process.


click on the content to continue..

What are the factors of `26`?

  • `1, 2, 13, 26`
  • `1, 2, 13, 26`
  • no factors

The answer is "`1, 2, 13, 26`"

What are the factors of `28`?

  • `1,2,14,28`
  • `1,2,4,7,14,28`
  • `1,2,4,7,14,28`

The answer is "`1,2,4,7,14,28`"

Which of the following is the prime factorization of `264`?factors A procedure is illustrated in the figure.

  • `2xx2xx2xx3`
  • `2xx2xx2xx3xx11`
  • `2xx2xx2xx3xx11`

The answer is "product of `2xx2xx2xx3xx11`".

What is the `sqrt(3600)`?

  • `600`
  • `60`
  • `60`

The answer is "`60`".

Square root is a form of root. In roots, we learned to perform prime factorization to find the root.
`sqrt(3600)`
`=sqrt(2xx2xx2xx2xx3xx3xx5xx5)`
`=2xx2xx3xx5`
`=60`

Finding Square Roots : To find square root of a number, express the number in prime factors and group the factors.

eg: `sqrt(100)` `=sqrt(2xx2xx5xx5)` `=2xx5 =10`

Note: This method is suitable for finding square roots resulting in integers.

                            
slide-show version coming soon