Diffrence between rational and irrational numbers, Mathematics

Assignment Help:

Q. Diffrence between Rational and Irrational Numbers?

Ans.

A number which is not rational is called irrational. The word "irrational" sounds not quite right...as though the numbers were "wrong in some way. As a matter of fact, many early mathematicians like Pythagoras were unwilling to accept that such numbers could exist. Nowadays, irrational numbers are accepted as perfectly "proper."

Some examples of irrational numbers are:

• Square roots of whole numbers that aren't perfect squares; for example,

• Decimal numbers that don't repeat or terminate. Some examples of this type of number are Π ≡ 3.14159... and e ≡ 2.71828...

• There are many other examples. In fact, there are "more" irrational numbers than rational numbers.

How do you know when a number is irrational? That can be difficult. If you can write a number as a fraction., then it must be rational, but if you can't write a number as a fraction, then maybe you just haven't thought of the right fraction yet! To know for sure that a number is irrational, you would have to prove that it can't be written as a fraction.


Related Discussions:- Diffrence between rational and irrational numbers

Find the frame of a quadratic polynomial , If α, β are the zeros of the pol...

If α, β are the zeros of the polynomial x 2 +8x +6 frame a Quadratic polynomial whose zeros are a)  1/α and  1/β b) 1+ β/α , 1+ α/β. Ans. P(x) = x 2 +8x +6 α + β = -8

Simplify, X^2 – y^2 – 2y - 1

X^2 – y^2 – 2y - 1

Example of inflection point-differential equation, Example of inflection po...

Example of inflection point Determine the points of inflection on the curve of the function y = x 3 Solution The only possible inflexion points will happen where

Average cost function, Average cost function : Now let's turn our attentio...

Average cost function : Now let's turn our attention to the average cost function. If C ( x ) is the cost function for some of the  item then the average cost function is,

Area under curve, w/ You could use this sample code to test your C function...

w/ You could use this sample code to test your C functions // Please make appropriate changes to use this for C++. // Following main function contains 3 representative test cases

Permuttation, A telephoned dialled number 0 to 9.if 0 is dialled first the ...

A telephoned dialled number 0 to 9.if 0 is dialled first the caller is connected to the international exchange system.find the number of local calls that can be rung if a local num

Finding length and height with volume and width?, I figured out the volume ...

I figured out the volume and the width, but I have no idea how to use that information to get the height and the length!

Theory of equations, If p,q,r are roots of x^3-3x^2+4x-7=0 (p+2)(q+2)(...

If p,q,r are roots of x^3-3x^2+4x-7=0 (p+2)(q+2)(r+2)=

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd