Question

A forma simplificada de escrever √450 é:

a) 6√3
b) 10√5
c) 15√2
d) 20√6​

Answer 1

Resposta:

Olá bom dia!

Fatore 450:

450 | 2

225 | 3

75 | 3

25 | 5

5  | 5

1

450 = 2 * 3² * 5³

$\sqrt{450}\\\\= \sqrt{2*3^2*5^2} \\\\= \sqrt{2*3^2*5^2} \\\\= \sqrt{2}*\sqrt{3^2}*\sqrt{5^2} \\\\= 3*5\sqrt{2} \\\\= 15\sqrt{2}$

Letra C

Answer 2

$\boxed{\begin{array}{lr} \sqrt{450} \\ \\ \sqrt{225 \times 2} \\ \\ \sqrt{ {15}^{2} \times 2} \\ \\ \sqrt{ {15}^{2} \sqrt{2} } \\ \\ \boxed{\boxed{\red { 15 \sqrt{2} }}} {\green{ \: ⇐letra \: c)}} \end{array}}$

Espero ter colaborado, bons estudos❤.