Question

va rooog mult !!! Kalinux daca vezi asta ajuta-ma
Precizati daca M este rational
${8}^{1 + log_{4}(12) }$

Answer 1

[tex]8^{1+\log_4 12}=8^{\log_4 4+\log_4 12}=8^{\log_4 48}=48^{\log_4 8}=48^{\log _4(4\cdot 2)}=\\=48^{1+\frac{1}{2}}=\sqrt{48^{3}}=48\sqrt{48}\in \mathbb{R}\backslash \mathbb{Q}.\\ \text{Deci e irational.}[/tex]