Question

Amplificati raportul algebric
Radical din 5x-1asupra 1+radical din 5x cu radical din 5x+1
Va roggg muult.

Answer 1

$\frac{\sqrt{5x}-1}{1+\sqrt{5x}}^{(\sqrt{5x}+1}= \\\\\\=\frac{(\sqrt{5x}-1)(\sqrt{5x}+1)}{(1+\sqrt{5x})(\sqrt{5x}+1)}= \\\\\\= \frac{(\sqrt{5x})^2-1^2}{(\sqrt{5x}+1)^2}= \\\\\\ \longrightarrow \boxed{\frac{5x-1}{(\sqrt{5x}+1)^2}}$