Question

1)Calcule a raiz utilizando a fatoração:
a) √729 2
b)√225

Respondam Rapido POR FAVOR

Answer 1

Explicação passo-a-passo:

a)

$\sf 729~~~|~~~3$

$\sf 243~~~|~~~3$

$\sf ~81~~~~|~~~3$

$\sf ~27~~~~|~~~3$

$\sf ~~9~~~~~|~~~3$

$\sf ~~3~~~~~|~~~3$

$\sf ~~1$

$\sf 729=3^6$

Assim:

$\sf \sqrt{729}=\sqrt{3^6}$

$\sf \sqrt{729}=\sqrt{(3^3)^2}$

$\sf \sqrt{729}=3^3$

$\sf \red{\sqrt{729}=27}$

b)

$\sf 225~~~|~~~3$

$\sf ~75~~~~|~~~3$

$\sf ~25~~~~|~~~5$

$\sf ~~5~~~~~|~~~5$

$\sf ~~1$

$\sf 225=3^2\cdot5^2$

Assim:

$\sf \sqrt{225}=\sqrt{3^2\cdot5^2}$

$\sf \sqrt{225}=3\cdot5$

$\sf \red{\sqrt{225}=15}$