• Matéria: Matemática
  • Autor: Victor200712
  • Perguntado 4 anos atrás

O Prof. Pinheiro, do CMRJ, resolveu desafiar seus três melhores

alunos do 9º ano, Huguinho, Zezinho e Luizinho, com um problema

para cada um. Depois de resolvê-los, os alunos entregaram suas

respostas:


Huguinho

Resposta: O valor de
³√10+6√3
é igual a
1+√3


Zezinho

Resposta: O quadrado da expressão
√3+2√2 - √3+2√2
é
igual a um número inteiro.


Luizinho

Resposta: A soma dos algarismos do número
10²⁰²¹ -10²⁰¹⁹
é um múltiplo de 3.


O Prof. Pinheiro concluiu que


a) todos os três alunos acertaram.

b) apenas um aluno acertou.

c) apenas Huguinho e Zezinho acertaram.

d) apenas Huguinho e Luizinho acertaram.

e) apenas Zezinho e Luizinho acertaram.​

Respostas

respondido por: viancolz
0

Resposta:

e) apenas Zezinho e Luizinho acertaram.​

Explicação passo a passo:

H = 3V10 + 6V3 = 12,54...

1 + V3 = 2,73...

12,54 é diferente de 2,73

Huguinho errou

Z = (sqrt(3)+2sqrt(2)-sqrt(3)+2sqrt(2))^2 = 32

32 é um número inteiro.

Zezinho acertou

L = 10^2021 - 10^2019 = 99000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Este número é múltiplo de 3.

Luizinho acertou.

Vilmar

Perguntas similares