Question

simplifique por fatoracão

$\sqrt{99}$



$\sqrt{450}$



$\sqrt{800}$



$\sqrt{432}$
​

Answer 1

Resposta:

fatorando

99 | 3

33 | 3

1 1  | 11

 1

$\sqrt{99} =\sqrt{3^2.11} =3\sqrt{11}$

450 | 2

225 | 3

 75  | 3

 25  | 5

   5   | 5

    1

$\sqrt{450} =\sqrt{2.3^2.5^2} =3.5\sqrt{2} =15\sqrt{2}$

800 | 2

400 | 2

200 | 2

100  | 2

 50  | 2

 25  | 5

   5  | 5

  1

$\sqrt{800} =\sqrt{2^2.2^2.2.5^2} =2.2.5\sqrt{2} =20\sqrt{2}$

432 | 2

216  | 2

108  | 2

 54  | 2

  27  | 3

   9  | 3

   3  | 3

  1

$\sqrt{432} =\sqrt{2^2.2^2.3^2.3} =2.2.3\sqrt{3} =12\sqrt{3}$