Question

M=raiz de 99,444..+0,555..sobre 4,611..- 0,611..

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Answer 1

$99.4444...+0.5555...=99.9999...\\\\4.6111...-0.6111...=4\\\\Entonces:\\\\M=\sqrt{\frac{99.9999...}{4}}$

Luego intentemos hacer 99.9999... fracción:

$99.9999...=99+0.9999...$

Entonces:

$x=0.9999...\\\\10x=9.9999...\\\\10x-x=9.9999...-0.9999...\\\\9x=9\\\\x=\frac{9}{9}\\\\x=1\\\\Osea:\\\\x=0.9999...=1$

Entonces:

99+0.9999...=99+1=100

De aqui:

$M=\sqrt{\frac{100}{4}}=\sqrt{25}=5$

d) N.A