Math, asked by Anonymous, 1 year ago

• What are irrational numbers ?
• How do irrational numbers differ from rational number ? Prove !

With Example :)
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Answers

Answered by 22072003
6
\huge\boxed{\texttt{\fcolorbox{aqua}{pink}{HØLÁ !!}}}

\large\text{\underline{\underline{Irrational Numbers}}}

Irrational numbers are those numbers which <b>can't</b> be represented in the form of p/q and q ≠ 0.

π ( pi ) is the suitable example for Irrational number because we cannot write down a accurate fraction of π.

We know that π = 22/7 = 3.1428571428... But it is not accurate.

\large\text{\underline{\underline{Difference}}}

Rational numbers are differ from irrational numbers. As per suggest by the name, 'ir' denotes opposite.

Rational numbers can be expressed in the form p/q, where q ≠ 0. If q = 0, then

p/0 = \infty

Now, Let's take some example of rational numbers.

<u>For example :</u> = 1, -5, 3/7, 7, etc.

0 is also included in the rational number as it can be expressed in the form of p/q as –

= 0/1, where p = 0, q = 1.

This also satisfied our condition of q ≠ 0.
Answered by Anonymous
10
Hey bhai,

- Irrational numbers in a simple way are the opposite of rational numbers.
- They are usually formed by ratios.
- They don't have any exact value on number line.
- They can't be expressed in p/q form.
- For ex - Root(2)

Irrational numbers are different from rational numbers because -

- Irrational numbers are not countable whereas rational numbers are countable
- When multiplied, divide, subtract or add to another number have no fixed value as compared to rational numbers.
-Rational numbers can be expressed in p/q form as compared to Irrational numbers.

Hope this helps you out!
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