M = raiz de 99, 444?
M = raiz de 99, 444. + 0, 555. Sobre 4, 611. - 0, 611. .
En resumen
<img src="https://tex.z-dn.net/?f=99.4444...%2B0.5555...%3D99.9999...%5C%5C%5C%5C4.6111...-0.6111...%3D4%5C%5C%5C%5CEntonces%3A%5C%5C%5C%5CM%3D%5Csqrt%7B%5Cfrac%7B99.9999...%7D%7B4%7D%7D" />Luego intentemos hacer 99. 9999. Fracción : <img src="https://tex.z-dn.net/?f=99.9999...
Mejor respuesta
<img src="https://tex.z-dn.net/?f=99.4444...%2B0.5555...%3D99.9999...%5C%5C%5C%5C4.6111...-0.6111...%3D4%5C%5C%5C%5CEntonces%3A%5C%5C%5C%5CM%3D%5Csqrt%7B%5Cfrac%7B99.9999...%7D%7B4%7D%7D" />Luego intentemos hacer 99.
9999.
Fracción : <img src="https://tex.z-dn.net/?f=99.9999...%3D99%2B0.9999..." />Entonces : <img src="https://tex.z-dn.net/?f=x%3D0.9999...%5C%5C%5C%5C10x%3D9.9999...%5C%5C%5C%5C10x-x%3D9.9999...-0.9999...%5C%5C%5C%5C9x%3D9%5C%5C%5C%5Cx%3D%5Cfrac%7B9%7D%7B9%7D%5C%5C%5C%5Cx%3D1%5C%5C%5C%5COsea%3A%5C%5C%5C%5Cx%3D0.9999...%3D1" />Entonces : 99 + 0.
9999.
= 99 + 1 = 100De aqui : <img src="https://tex.z-dn.net/?f=M%3D%5Csqrt%7B%5Cfrac%7B100%7D%7B4%7D%7D%3D%5Csqrt%7B25%7D%3D5" />d) N.
A.