Question

Raiz quadrada de 784 conta inteira ​

Answer 1

$784 \div 2 \\ \\ 392 \div 2 \\ \\ 196 \div 2 \\ \\ 98 \div 2 \\ \\ 49 \div 7 \\ \\ 7 \div 7 \\ \\ 1 \\ \\ \\ 784 = {2}^{4} \times {7}^{2}$

$\sqrt{784} = \sqrt{ {2}^{4} \times {7}^{2} } \\ \\ \sqrt{784} = {2}^{ \frac{4}{2} } \times {7}^{ \frac{2}{2} } \\ \\ \sqrt{784} = {2}^{2} \times 7 \\ \\ \sqrt{784} = 4 \times 7 \\ \\ \sqrt{784} = 28$