Question

1) raiz quadrada de 2500!!!!!!!

Answer 1

Devemos fatorar o número:

$\mathtt{2.500~~~~~|10} \\ \mathtt{250~~~~~~~|10} \\ \mathtt{25~~~~~~~~~|5}  \\\mathtt{5~~~~~~~~~~~|5} \\ \mathtt{1}$

Agora vamos multiplicar todos os fatores:

$\mathtt{10~.~10~.~5~.~5} \\\mathtt{10^2~.~5^2}  \\\mathtt{50^2} \\ \mathtt{\sqrt{2.500}~~=~~\sqrt{50^2}}~~=~~50} \\ \\ \\\boxed{\boxed{\mathtt{Resposta: 50}}}$

Answer 2

2500  2

1250   2

 625   5

  125   5

    25   5

       5   5

       1

2500 = 2^2 * 5^4

raiz 2500 = 2*5^2 = 2*25 = 50