Question

Raiz quadrada de 361 e 400

Answer 1

361 | 19
  19 | 19
    1 |

$\sqrt{361}= \sqrt{19^2} \\ \\ \sqrt{361}=19$

400 | 2
200 | 2
100 | 2
  50 | 2
  25 | 5
    5 | 5
    1 |

$\sqrt{400}= \sqrt{2^2*2^2*5^2} \\ \\ \sqrt{400}= \sqrt{2*2*5} \\ \\ \sqrt{400}=2*2*5 \\ \\ \sqrt{400}=20$

Espero ter ajudado e bons estudos!!!

Answer 2

$\begin{array}{c|c}\sf361&\sf19\\\sf19&\sf19\\\sf1\end{array}$

$\sf\sqrt{361}=\sqrt{19^2}$

$\boxed{\boxed{\sf\sqrt{361}=19}}$

$\begin{array}{c|c}\sf400&\sf2\\\sf200&\sf2\\\sf100&\sf2\\\sf50&\sf2\\\sf25&\sf5\\\sf5&\sf5\\\sf1\end{array}$

$\sf\sqrt{400}=\sqrt{2^2\cdot2^2\cdot5^2}$

$\sf\sqrt{400}=2\cdot2\cdot5$

$\boxed{\boxed{\sf \sqrt{400}=20}}$