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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.
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? 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