Question

what is rational number how we found it​

Answer 1

Answer:

Rational numbers are a set of numbers all of which can be expressed in a fraction of the form

$\frac{a}{b}$

For example, the number 2, or a number

$\frac{5}{7}$

These numbers are existent ever since natural numbers were discovered by Babylonians around the years 2000 BC and 1500 BC. The number 0 is also a rational number and was developed around 700 BC in India. The first discovery of an irrational number was when the pupils of Pythagoras were trying to find the hypotenuse of right-angled triangle with a perpendicular and base of 1 units. Applying the Pythagoras formula, we get,

${c}^{2} = {1}^{2} + {1}^{2} \\ c = \sqrt{( {1}^{2} + {1}^{2} ) } \\ c = \sqrt{1 + 1 } \\ c = \sqrt{2}$

The people at that time were really displeased by this discovery of a number which they could not find the square root of. Since then, the separation of the numbers into rational and irrational is existent. You may notice that the

$\sqrt{2}$

cannot be expressed into fractional terms or in the form of

$\frac{a}{b}$

Answer 2

Step-by-step explanation:

Answer:

Rational numbers are a set of numbers all of which can be expressed in a fraction of the form

\frac{a}{b}ba

For example, the number 2, or a number

\frac{5}{7}75

These numbers are existent ever since natural numbers were discovered by Babylonians around the years 2000 BC and 1500 BC. The number 0 is also a rational number and was developed around 700BC in India. The first discovery of an irrational number was when the pupils of Pythagoras were trying to find the hypotenuse of right-angledtriangle with a perpendicular and base of 1 units. Applying the Pythagoras formula, we get,

\begin{lgathered}{c}^{2} = {1}^{2} + {1}^{2} \\ c = \sqrt{( {1}^{2} + {1}^{2} ) } \\ c = \sqrt{1 + 1 } \\ c = \sqrt{2}\end{lgathered}c2=12+12c=(12+12)c=1+1c=2

The people at that time were really displeased by this discovery of a number which they could not find the square root of. Since then, the separation of the numbers into rational and irrational is existent. You may notice that the

\sqrt{2}2

cannot be expressed into fractional terms or in the form of

\frac{a}{b}ba

hope helped...