Question

Решите
$( sqrt{5} ) ^{ 2 + log_{5}(9) }$

Answer 1

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Answer 2

$(sqrt{5})^{2+loh_59}=(sqrt{5})^2 cdot (5^{1/2})^{log_59}=5cdot 5^{frac{1}{2}cdot log_59}=5cdot 5^{log_59^{frac{1}{2}}}=\\=5cdot 9^{frac{1}{2}}=5cdot 3=15$