Question

qual a raiz quadrada de
$\sqrt{128}$
? ​

Answer 1

Resposta:

V128= 8V2

128 | 2

64 | 2

32 | 2

16 | 2

8 | 2

4 | 2

2 | 2

1 __________-__

2².2².2².2

Answer 2

Raiz quadrada por fatoração

$\begin{array}{r|l}\sf128&\sf2\\\sf64&\sf2\\\sf32&\sf2\\\sf16&\sf2\\\sf8&\sf2\\\sf4&\sf2\\\sf2&\sf2\\\sf1\end{array}$

$\mathsf{ \sqrt{128}=\sqrt{2^2\cdot2^2\cdot2^2\cdot2}}$

$\mathsf{\sqrt{128}=2\cdot2\cdot2\sqrt2 }$

$\boxed{\boxed{\mathsf{\sqrt{128}=8\sqrt2 }}}$