Question

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

Answer 1

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Answer 2

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