answersLogoWhite

0


Best Answer

It is a Prime number that has only factors of itself and one therefore it is an irrational number like all prime numbers are.

User Avatar

Wiki User

โˆ™ 2011-04-17 14:43:44
This answer is:
๐Ÿฆƒ
0
๐Ÿคจ
0
๐Ÿ˜ฎ
0
User Avatar
Study guides

Algebra

20 cards

A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

โžก๏ธ
See all cards

Multiplication chart! :)

12 cards

2x1

2x2

2x3

2x4

โžก๏ธ
See all cards

Math and Arithmetic

20 cards

The length of a rectangular floor is 2 feet more than its width The area of the floor is 168 square feet Kim wants to use a rug in the middle of the room and leave a 2 foot border of the floor visib

The perimeter of a rectangle is 18 feet and the area of the rectangle is 20 square feet what is the width of the rectangle

The sum of two numbers is 19 and their product is 78 What is the larger number

A rectangular garden has a perimeter of 48 cm and an area of 140 sq cm What is the width of this garden

โžก๏ธ
See all cards

Add your answer:

Earn +20 pts
Q: Give a proof that the square root of 3 is an irrational nu?
Write your answer...
Submit
Related questions

Why is the square root of 33 irrational?

Most high school algebra books show a proof (by contradiction) that the square root of 2 is irrational. The same proof can easily be adapted to the square root of any positive integer, that is not a perfect square. You can find the proof (for the square root of 2) on the Wikipedia article on "irrational number", near the beginning of the page (under "History").


Is the square root of 32 an irrational or a rational number?

The square root of a positive integer can ONLY be:* Either an integer, * Or an irrational number. (The proof of this is basically the same as the proof, in high school algebra books, that the square root of 2 is irrational.) Since in this case 32 is not the square of an integer, it therefore follows that its square root is an irrational number.


Is the square root of 3 rational?

No, the square root of 3 is not rational.No. The square root of 3 is irrational.More generally: if p is a prime number then the square root of p is irrational and the proof of this fact mimics the famous proof of irrationality of the square root of 2.No - the square root of 3 is not rational, but the proof is too involved to post here.


Can multiplying two irrational numbers give you an irrational number?

Yes. For example, the square root of 3 (an irrational number) times the square root of 2(an irrational number) gets you the square root of 6(an irrational number)


Is the square root of 200 rational or irrational?

The square root of 200 is irrational.


Is the square root of a 143 a irrational number?

Yes. The square root of a positive integer can ONLY be either:* An integer (in this case, it isn't), OR * An irrational number. The proof is basically the same as the proof used in high school algebra, to prove that the square root of 2 is irrational.


Is the square root of 12.1 a rational number or irrational number?

irrational square root of 121 = 11 square root of 1.21 = 1.1 square root of 12.1 = 3.47...


Is the square root of 14 rational or irrational number?

Search for the proof for the irrationality of the square root of 2. The same reasoning applies to any positive integer that is not a perfect square. In summary, the square root of any positive integer is either a whole number, or - as in this case - it is irrational.


Is they sqare root of 94 irrational or irrational?

The square root of 94 is an irrational number


Is the square root of 4.1 a rational or irrational number?

[ square root of (4.1) ] is irrational. But [ square root of (4) ] is rational.


Is the square root of 29 a rational or an irrational number?

The square root of 29 is an irrational number.


Is the square root of 7 rational or irrational?

It is a irrational number. Because the square root of every imperfect square is irrational number.


How do you find an irrational square root?

An irrational number is a number that never ends. An example of an irrational square root would be the square root of 11.


Give an example of irrational number?

square root of (2)


Are negative square roots rational or irrational?

If the positive square root (for example, square root of 2) is irrational, then the corresponding negative square root (for example, minus square root of 2) is also irrational.


Give a proof that the square root of 8 is an irrational number?

sqrt(8) = sqrt(4*2) = 2*sqrt(2).Even without given that sqrt(2) is a rational, you can give that the square root of 2 starts converging onto the "Pythagoras Constant" eventually, as it takes an infinite amount of digits to square root an integer that is not perfectly squared.Thus, an rational x irrational = irrational, thus the sqrt(8) is irrational (an approximation is 2.8284271247...).


Is the square root of 33 irrational?

Yes, square root of 33 is irrational.


Is the square root 12 irrational?

The square root of 12 is an irrational number


Is the square root of 2.5 rational or irrational?

The square root of 2.5 is irrational


Is the square root of 254 irrational?

The square root of 254 can be said to be irrational.


Is the square root of 37 an irrational?

The square root of 37 is an irrational number.


Is the square root of 0.144 irrational?

The square root of 0.144 is an irrational number


Is the square root of 12 irrational?

The square root of 12 is an irrational number


Is the square root of 75 rational or irrational?

The square root of (any number that isn't a perfect square) is irrational.


Is the sum of root 2 and root 3 irrational?

I'm assuming that you mean 'square root'. Yes, this sum is irrational. So are each of the two numbers alone. A simple proof can be done by writing x=square root 2 + square root 3 and then "squareing away" the square roots and then use the rational roots theorem. The sum or difference of two irrational number need not be irrational! Look at sqrt(2)- sqrt(2)=0 which is rational.