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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

### Representation of Squares and Square Roots

In this page, square of a number and square root of a number are revised in a simple thought process.

click on the content to continue..

What is 3^2?

• 9
• 9
• 6

The answer is "9".

An exponent of power 2 is called square of the number.

eg: Square of 7 is 7^2 = 49.

Which of the following is a meaning for the word "square"?

• the 2D shape of equal sides and 90^@ angles between the sides
• the 2D shape of equal sides and 90^@ angles between the sides

The answer is "the 2D shape of equal sides and 90^@ angles between the sides".

The exponent square is representative of "area of the shape square, side to the power 2".

What is 16^(1/2)?

• 4
• 4
• 256

The answer is "4".

What is root(2)(144)?

• 4
• 12
• 12

The answer is "12".

An exponent of power 1/2 or the 2nd root is called square root of the number.

eg: Square root of 64 is 64^(1/2) = root(2)(64) = 8.

The power of the root need not be mentioned for square roots
root(2)(64) = sqrt(64).

What is square of 4?

• 42
• 16
• 16

The answer is "16".

Square of 4 is 4^2.

What is square root of 9?

• 4.5
• 3
• 3

The answer is "3".

Square root of 9 is root(2)(9) = 9^(1/2).

What is sqrt(100)?

• 10
• 10
• 2

The answer is "10".

the symbol sqrt() is the square root.

What is the term used to refer "a number to the power of 2"?

• Pronunciation : Say the answer once
Spelling: Write the answer once

The answer is "square".

What is the term used to refer "a number to the power of 1/2"?

• Pronunciation : Say the answer once
Spelling: Write the answer once

The answer is "square root".

Square of a number : A number multiplied by itself is the square of the number.
eg: 6^2 = 6xx6 = 36

Square Root of a number : Square root of a value is the number whose square is the given value.
eg: sqrt(36) = 6 as 6^2=36.

slide-show version coming soon