French College

prove that √2 is an irrational number.​

Answers

Answer 1

Explanation: There are several ways to prove that √2 is an irrational number, but one common method is using proof by contradiction. Here is one possible proof:

Assume the opposite, that √2 is a rational number and can be written as a fraction a/b, where a and b are integers and b ≠ 0. Then, we can square both sides of the equation:

(a/b)^2 = 2

Expanding the left side, we get:

a^2/b^2 = 2

Multiplying both sides by b^2, we get:

a^2 = 2b^2

This means that a^2 is even, which implies that a must be even. Let a = 2c, where c is also an integer. Then:

(2c)^2 = 2b^2

Expanding the left side again, we get:

4c^2 = 2b^2

Dividing both sides by 2, we get:

2c^2 = b^2

This means that b^2 is also even, which implies that b must be even. But this contradicts the assumption that a and b have no common factors except for 1. Therefore, our assumption that √2 is a rational number is false, and √2 must be an irrational number.

This proof shows that √2 cannot be expressed as a fraction of integers, and therefore it is an irrational number.

Related Questions

A growing number of U.S. adults who are not parents say they are likely not to have children, citing lack of interest, financial instability or lack of a partner.

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Answer:

This trend, known as childfree or voluntary childlessness, is becoming more common in the United States, as more adults choose not to have children for various reasons such as lack of interest in parenthood, financial instability, and lack of a suitable partner. The decision not to have children is a personal one and can be influenced by a variety of factors such as career goals, financial security, relationship status, and individual values. It is important to note that this trend is not limited to any specific demographic group and can be found among individuals from different backgrounds and lifestyles. Additionally, it's important to note that this trend does not necessarily mean that these adults are unable to have children but rather that they have chosen not to.

introduction liberté

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The answer is correct drkflkdkccif

Quels sont les figures de style du poème «Le Sonnet d’Arvers»?

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"Mon âme a son secret, ma vie a son mystère" : 2 personnifications et parallélisme de contruction

"Toujours à ses côtés, et pourtant solitaire" : anti-thèse

"Et j'aurai jusqu'au bout fait mon temps sur la terre" : métaphore

allégorie tout le long du poème : qui est "elle" ?

et y'en a sûrement plus, comme le champ lexical d'entendre/parler, peut-être des allitérations aussi

what are the equity accounts on balance sheet for proprietorship

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Answer:

the owner's or the partners' capital account on the balance sheet.

For a sole proprietorship or partnership, the value of equity is indicated as the owner's or the partners' capital account on the balance sheet. The balance sheet also indicates the amount of money taken out as withdrawals by the owner or partners during that accounting period.

question 2 with 1 blank often, 1 of 1 of the same family will exchange la bise. otherwise, they might just shake hands.

Answers

It is true that men from the same family will exchange la bise or just shake hands.

What is la bise?

The word la bise refers to a kiss on the cheek often used in French culture to greet others.

Who uses la bise?

In France, using a kiss to greet others is quite common even for men. Indeed, you will greet your family and friends with la bise. But you might use more formal greetings for people like your boss or your colleagues.

Based on this, it is true that men from the same family can exchange la bise.

Note: This question is incomplete, here is the missing section:

True or false

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Translation for parler francais

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Answer: Speak French

Explanation: I take French classes

1. M. Ibrahim M. Dupont / sortir la poubelle à 9h00 // dans la cuisine / nettoyer l'évier
votre sœur / sortir avec ses amis // dans le salon / repasser le linge
2. vous
3. M. Dubois M. Traoré / aller au cinéma // dans la bibliothèque / lire
4. Mlle Christophe Mlle Mojon / partir pour le gymnase // dans sa chambre / faire la poussière
5. Mme Rodier M. Rodier / balayer le garage pour la première fois // dans le salon / ranger les magazines
6. Mme Fossier sa fille / essuyer rapidement la table // dans le garage / faire la lessive
7. M. Ardan son fils / rentrer // dans la cuisine / balayer
8. M. Hassan sa femme / quitter la résidence // dans la salle de bains / laver la baignoire

Please help me this is due tmr

Answers

M. Ibrahim M. Dupont s'occupe de sortir les poubelles à 9h00 dans la cuisine et de nettoyer l'évier.Il n'est pas mentionné la tâche de la personne qui se désigne comme "vous".M. Dubois et M. Traoré vont au cinéma dans la bibliothèque et lisent.Mlle Christophe et Mlle Mojon partent pour le gymnase dans leur chambre et font la poussière.Mme Rodier et M. Rodier balayent le garage pour la première fois dans le salon et rangent les magazines.Mme Fossier et sa fille essuient rapidement la table dans le garage et font la lessive.M. Ardan et son fils rentrent dans la cuisine et balayent.M. Hassan et sa femme quittent la résidence dans la salle de bain et lavent la baignoire.Quelle est la structure de la phrase en français?

La structure de la phrase en français généralement suivie est :

Sujet + verbe + complément(s)

Exemple: "Les enfants jouent au parc."

Sujet : "Les enfants"

Verbe : "jouent"

Complément : "au parc"

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Svp je veux un commentaire sur cette graffiti ( ce que vous voyez , quel message veut transsmettre…)

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Le message de ce graffiti est que les enfants devraient profiter de leur enfance et jouer et faire d'autres activités que seuls les enfants font, comme étudier à l'école.

Que voyez-vous dans les graffitis?

Dans le graffiti, on voit deux filles en robe arabe serrant un ballon dans ses bras. Un aspect notable des graffitis est qu'ils sont en niveaux de gris. Alors que la balle est violette.

Que véhicule ce graffiti?

Ce graffiti véhicule l'idée que les enfants devraient profiter de leur enfance pour réaliser des activités que seuls les enfants font, car dans certains cas les enfants sont impliqués dans des conflits d'adultes qui les empêchent de s'amuser comme il se doit.

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Svp je veux un commentaire sur cette graffiti ( ce que vous voyez , quel message veut transsmettre…)

Answers

- Tu peux voir que deux personnes divise un pays en deux: l'Inde

- à droite t'as un homme en habit traditionnel hindou, à gauche un autre homme en habit traditionnel du Pakistan/population musulmane d'Inde :  ce sont les deux religions majoritaires du pays

-  le pays, après avoir gagné son indépendance face aux anglais, s'est plus ou moins déchiré, devenant ainsi deux entités : l'inde qu'on connaît aujourd'hui, et le Pakistan.

- les personnes de confessions musulmanes, face aux pressions exercées par les personnes de confessions hindou, sont parties vers le Pakistan. de même, les hindous sont parti vers l'inde. ces mouvements de populations ont menés à des affrontements et des morts.

- de nos jours, les musulmans sont une minorité en inde, et le gouvernement est mené, si je ne me trompe pas, par un parti nationaliste hindou.

- ce graffiti (de banksy je pense), ne fais que illustrer les tensions entre ces deux populations, tensions souvent ravivées par les pressions de plus en plus fortes (alias des milices hindous soutenues par le gouvernement pour empêcher les non hindous de consommer de la viande de vache, la vache étant sacrée dans la religion hindouiste) envers les personnes non hindous.

le sujet est ultra intéressant, si les conflicts inter-ethniques et post-coloniaux c'est ton délire, et je t'encourage vraiment à faire plus de recherches dessus.

PS: les minorités musulmanes vivent, en grande partie, au nord est du pays, c'est pour cela que l'homme les représentant est à gauche

1 Indiquez si les verbes en gras sont transitifs directs,
transitifs indirects, intransitifs, attributifs ou pronomi-
naux.
Deltour s'approcha et essaya de trouver une petite place
sur la nappe. Rosie et Anita mangeaient des sandwiches,
assises dans l'herbe. La petite Emma piochait dans une
barquette en plastique que tenait sa mère des morceaux de
poulet mariné. Derrière elle, Deltour distingua Titi, à plat
ventre; il ne mangeait pas et semblait totalement absent.
- Il n'aime pas le poulet, murmura Anita.

Answers

Answer:

Deltour: intransitif Rosie et Anita: transitifs directs La petite Emma: transitif direct Titi: attributif murmura Anita: pronominal

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