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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

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 `2`nd 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