Question

Qual a raiz quadrada de 39.600. Pfvr me ajudem

Answer 1

$\sqrt{39600} = \sqrt{396 \cdot 100} = \sqrt{396} \cdot \sqrt{100} = \sqrt{396} \cdot 10$

Agora iremos fatorar 396:

396 | 2
198 | 2
99   | 3
33   | 3
11   | 11
1     |/ 2² · 3² · 11

$\sqrt{396} \cdot 10 = \sqrt{2^{2} \cdot 3^{2} \cdot 11} \cdot 10 = 2 \cdot 3 \cdot 10 \cdot \sqrt{11} = \boxed{60 \sqrt{11}}}$