answersLogoWhite

0


Best Answer

You can't, because it isn't. The square root of 2 is irrational, but that doesn't make it transcendental. The square root of any positive integer is ALGEBRAIC - and transcendental means "not algebraic".In this case, the square root of 2 is a root of the polynomial equation x squared - 2 = 0; therefore it is algebraic.

User Avatar

Wiki User

โˆ™ 2015-07-12 21:14:51
This answer is:
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
3.74
โ˜†โ˜…โ˜†โ˜…โ˜†โ˜…โ˜†โ˜…โ˜†โ˜…
1027 Reviews
More answers
User Avatar

Wiki User

โˆ™ 2016-03-15 14:28:57

You cannot because it is not. The square root of 2 is the solution to the polynomial equation x^2 - 2 = 0 and so it is a plain irrational number, not a transcendental.

This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: How can you prove that the square root of two is transcendental?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

What does it mean if a number is transcendental?

It means that it is not algebraic... that is, it is not the root of a polynomial expression with rational coefficients.There are infinitely more transcendental numbers than algebraic numbers, but only a few are of any practical importance... most prominently pi and e, the base of the natural logarithms.All (real) transcendental numbers are irrational, but not all irrational numbers are transcendental. For example, the square root of two is irrational, but it is not transcendental as it is a root of the equation x2 - 2 = 0, a polynomial expression with rational coefficients.


Does transcendental ean it is equal to the ratio of two integers in math?

Absolutely not. Transcendental numbers are such values as e, pi, and root 2


Square root of 2 Times Square root of 2?

The square root of two times the square root of two equals two


What is the square root of six divided by the square root of two in simplest radical form?

The square root of six divided by the square root of two equals the square root of three.


Does transcendental mean it is equal to the ratio of two integers in math?

yes * * * * * No it does not. A transcendental number is not rational. It is irrational but, further than that, it is not the root of any polynomial equation with rational coefficients.


How do you simplify square root of 50 the square root of 18?

5 times the square root of two over 3 times the square root of two equals 5/3


Which two square roots are used to estimate square root 67?

Square root 64 and square root 81


Which two square roots are used to estimate the square root of 43?

The square root of 36 and the square root of 49.


Is it true that the square root of 2 cannot be expressed by a ratio of two integers?

yes. But I'm too lazy to show you how to prove it.


What the square root of 2?

The square root of two is approximately 1.41


What is the square root of the number who's square root is 2?

If this is supposed to be a riddle, it's not a very good one. The square root of the number whose square root is two is, obviously, two.


What is the square root of four twentyfifths?

The square root of four twenty-fifths, is two fifths, because of the fact that the square root of four is two and the square root of twenty-five is five.

People also asked

How thick is 20 mil?

View results

What is the area of a 4 inch diameter circle?

View results

How many hours is 9 30 am to 5PM?

View results