Question

Упростите дробь. 50 БАЛЛОВ 8 КЛАСС

Answer 1

$\frac{\sqrt{15x}-\sqrt{5}}{3x-1}=\frac{\sqrt{5*3x}-\sqrt{5}}{3x-1} =\frac{\sqrt{5}(\sqrt{3x} -1) }{(\sqrt{3x})^{2}-1^{2}}=\frac{\sqrt{5}(\sqrt{3x}-1)}{(\sqrt{3x}-1)(\sqrt{3x}+1)}=\frac{\sqrt{5}}{\sqrt{3x}+1 }\\\\Otvet:\boxed{\frac{\sqrt{5}}{\sqrt{3x} +1}}$