zaidh3494 zaidh3494

21-02-2021
Mathematics

contestada

Show
that
[tex] \sqrt{5} [/tex]
is irrational

Respuesta :

isaadel2017 isaadel2017

21-02-2021

Suppose that √5 = ab where ab is in reduced form. Thus 5 = a2b2 and 5b2 = a2. ... Since there is no integer that is both even and odd, we have reached a contradiction and √5 is irrational.

Answer Link

Otras preguntas

A group of 8 friends (5 girls and 3 boys) plans to watch a movie, but they have only 5 tickets. If they randomly decide who will watch the movie, what is the pr

When the government of any country restricts the sale of a particular commodity to certain groups — for example, restricting sales of alcohol to individuals of

A motor keep a Ferris wheel (with moment of inertia 6.8 × 107 kg · m 2 ) rotating at 12 rev/hr. When the motor is turned off, the wheel slows down (because of f

What is the answer how does the value of the digit 3 in the number 63,297 compare to the value of the digit 3 in the number 60,325 be sure to include what you k

Government survey takers determine that typical family expenditures each month in the year designated as the base year are as follows: 25 pizzas at $10 each Ren

When Isabel visited the children's zoo, she heard squeals coming from the baby pigs and loud grunts from the adult pigs. Her perception of the high-pitched sque

On December 31, 2020, Coolwear, Inc. had a balance in its prepaid insurance account of $53,400. During 2021, $91,000 was paid for insurance. At the end of 2021,

Waterway Corporation purchased a new machine for its assembly process on August 1, 2020. The cost of this machine was $162,900. The company estimated that the

Consider the following scenario: A child cries for his father to take him to the park while they are at the library. Which of the following represents a likely

A person walks due East for 10 meters and then due North for 10 meters. What is the total distance traveled? 10 m 20 m 14 m 16 m