Question

Macete para achar a raiz quadrada de 278784

Answer 1

O macete eh vc fatorar:

$278784=2^{8}\cdot3^{2}\cdot11^{2}\\\\\sqrt{278784}=\sqrt{2^{8}\cdot3^{2}\cdot11^{2}}=2^{\frac82}\cdot3^{\frac22}\cdot11^{\frac22}=2^4\cdot3\cdot11=16\cdot33=528$