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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

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Irrational Number Representation

» irrational numbers

→ solutions of algebraic equations in real line

→ eg: `sqrt(2)` is one solution of `x^2=2`

» irrational numbers are represented as **numerical expressions**

→ eg: `3+4 root(3)(5)` is one solution of `((x-3)/4)^3 = 5`

*plain and simple summary*

nub

*plain and simple summary*

nub

dummy

Irrational numbers are represented as numerical expressions or with a symbol.

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trek

*simple steps to build the foundation*

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This page reviews the representation of irrational numbers. The complex number notation is very similar to the representation of irrational numbers -- both are given as numerical expressions.

Starting on learning "Irrational Number Notation". ;; This page reviews the representation of irrational numbers. The complex number notation is very similar to the representation of irrational numbers -- both are given as numerical expressions.

Irrational numbers are 'numbers that cannot be represented as `p/q` and are on the number line.

The equation `x^2 = 2` has the solutions in irrational numbers. Which one in the following is the exact solution?

- `+-1.4`
- `+-1.41`
- `+-1.414`
- none of the above is the exact solution

The answer is 'None of these is the exact solution'.

What is the value of `x` in `x^2=2`?

- `+-sqrt(2)`
- the solution is given as a numerical expression
- both the above

The answer is 'Both the above'. `sqrt(2)` is a numerical expression involving a square root symbol.

What is the solution to `(x-1)^2=2`?

- `+-sqrt(2)+1`
- the solution is given as a numerical expression
- both the above

The answer is 'Both the above'. `sqrt(2)+1` is a numerical expression involving a square root symbol and an addition.

What is the ratio of circumference to diameter of a circle? Find the exact value in the following.

- `22/7`
- `3.14`
- `pi`

The answer is '`pi`'. The number is represented with a symbol or a letter.

is `pi` a rational number?

- No, `pi` is an irrational number
- yes, `pi` is a rational number

The answer is 'No, `pi` is an irrational number'. This particular irrational number is represented with a letter `pi`.

*comprehensive information for quick review*

Jogger

*comprehensive information for quick review*

Jogger

dummy

** Representation of Irrational Numbers : ** Irrational numbers are represented with numerical expressions (eg: `root(3)(4)+3`) or with symbols (eg: `pi, e`)

*practice questions to master the knowledge*

Exercise

*practice questions to master the knowledge*

Exercise

Is `e` (a constant, that is base of natural logarithm) a rational number?

- No. `e` is an irrational number
- Yes. `e` is a rational number

The answer is 'No. `e` is an irrational number'

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Progress

*About you*

Progress

Irrational numbers are 'numbers that cannot be represented as p by q and are on the number line'. ;; The equation x squared = 2 has the solutions in irrational numbers. Which one in the following is the exact solution?

plus;minus;1

plus or minus 1 point 4

point;4

plus or minus 1 point 4 one

4 1 4

plus or minus 1 point 4 one four

none;above;exact;solution

none of the above is the exact solution

The answer is 'None of these is the exact solution'.

What is the value of x in x squared equals 2?

plus;minus;square;root;2

plus or minus square root of 2

solution;numerical;expression

the solution is given as a numerical expression

both;above

both the above

The answer is 'Both the above'. ;; square root of 2 is a numerical expression involving a square root symbol.

what is the solution to x minus 1 squared equals 2?

plus;minus;square;root

plus or minus square root of 2 plus 1

solution;numerical;expression

the solution is given as a numerical expression

both;above

both the above

The answer is 'Both the above'. Square root of 2 plus 1 is a numerical expression involving a square root symbol and an addition.

What is the ratio of circumference to diameter of a circle? Find the exact value in the following.

22;7;by

22 by 7

3;point;1;4

3 point one 4

pi;pie

pi

The answer is ' pi '. The number is represented with a symbol or a letter.

is pi a rational number?

no;irrational

No, pi is an irrational number

yes;rational

yes, pi is a rational number

The answer is 'No, pi is an irrational number'. This particular irrational number is represented with a letter pi .

Irrational numbers are represented as numerical expressions or with a symbol.

Representation of Irrational Numbers : Irrational numbers are represented with numerical expressions. ;; for example third root of 4 plus 3 ;; or with symbols ;; for example pi and e.

Is e ;; a constant that is base of natural logarithm ;; a rational number?

no;irrational

No. e is an irrational number

yes;s;rational

Yes. e is a rational number

The answer is 'No. e is an irrational number'