Question

o resultado das raízes quadradas 64 100 144 e 225 é respectivamente

Answer 1

8² ou 8.8= 64
√64= 8

10² ou 10.10= 100
√100= 10

12² ou 12.12 = 144
√144= 12

15² ou 15.15= 225
√225 = 15

Answer 2

Olá !

Raiz quadrada de 64 .

$\begin{array}{r|l}64&2\\32&2\\16&2\\8&2\\4&2\\2&2\\1\end{array}$

Logo ...

$\mathsf{\sqrt{64}=(2^{2}\cdot2^{2}\cdot2^{2})} \\\\\\ \mathsf{\sqrt{64}=(2\cdot2\cdot2)} \\\\\\ \boxed{\mathsf{\sqrt{64}=8}}$

Portanto , a raiz quadrada de 64 é 8

Raiz quadrada de 100 .

$\begin{array}{r|l}100&2\\50&2\\25&5\\5&5\\1\end{array}$

Logo ...

$\mathsf{\sqrt{100}=(2^{2}\cdot5^{2})} \\\\\\ \mathsf{\sqrt{100}=(2\cdot5)} \\\\\\ \boxed{\mathsf{\sqrt{100}=10}}$

Portanto , a raiz quadrada de 100 é 10.

Raiz quadrada de 144 .

$\begin{array}{r|l}144&2\\72&2\\36&2\\18&2\\9&3\\3&3\\1\end{array}$

Logo ...

$\mathsf{\sqrt{144}=(2^{2}\cdot2^{2}\cdot3^{2})} \\\\\\ \mathsf{\sqrt{144}=(4\cdot3)} \\\\\\ \boxed{\mathsf{\sqrt{144}=12}}$

Portanto , a raiz quadrada de 144 é 12.

Raiz quadrada de 225

$\begin{array}{r|l}225&5\\45&5\\9&3\\3&3\\1\end{array}$

Logo ...

$\mathsf{\sqrt{225}=(5^{2}\cdot3^{2})} \\\\\\ \mathsf{\sqrt{225}=(5\cdot3)} \\\\\\ \boxed{\mathsf{\sqrt{225}=15}}$

Portanto , a raiz quadrada de 225 é 15.

Espero ter de alguma forma ter cooperado contigo !