Datrys frac{2*sqrt{343}+sqrt{125}}{sqrt{5}}

$$\frac { 2 \cdot \sqrt { 343 } + \sqrt { 125 } } { \sqrt { 5 } }$$

Enrhifo

$$\frac{14\sqrt{35}}{5}+5\approx 21.565023393$$

Camau Ateb

Ffactora 343=7^{2}\times 7. Ailysgrifennu ail isradd y lluoswm \sqrt{7^{2}\times 7} fel lluoswm ail israddau \sqrt{7^{2}}\sqrt{7}. Cymryd isradd 7^{2}.

$$\frac{2\times 7\sqrt{7}+\sqrt{125}}{\sqrt{5}}$$

Lluosi 2 a 7 i gael 14.

$$\frac{14\sqrt{7}+\sqrt{125}}{\sqrt{5}}$$

Ffactora 125=5^{2}\times 5. Ailysgrifennu ail isradd y lluoswm \sqrt{5^{2}\times 5} fel lluoswm ail israddau \sqrt{5^{2}}\sqrt{5}. Cymryd isradd 5^{2}.

$$\frac{14\sqrt{7}+5\sqrt{5}}{\sqrt{5}}$$

Mae'n rhesymoli enwadur \frac{14\sqrt{7}+5\sqrt{5}}{\sqrt{5}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{5}.

$$\frac{\left(14\sqrt{7}+5\sqrt{5}\right)\sqrt{5}}{\left(\sqrt{5}\right)^{2}}$$

Sgwâr \sqrt{5} yw 5.

$$\frac{\left(14\sqrt{7}+5\sqrt{5}\right)\sqrt{5}}{5}$$

Defnyddio’r briodwedd ddosbarthu i luosi 14\sqrt{7}+5\sqrt{5} â \sqrt{5}.

$$\frac{14\sqrt{7}\sqrt{5}+5\left(\sqrt{5}\right)^{2}}{5}$$

I luosi \sqrt{7} a \sqrt{5}, dylid lluosi'r rhifau dan yr ail isradd.

$$\frac{14\sqrt{35}+5\left(\sqrt{5}\right)^{2}}{5}$$

Sgwâr \sqrt{5} yw 5.

$$\frac{14\sqrt{35}+5\times 5}{5}$$

Lluosi 5 a 5 i gael 25.

$$\frac{14\sqrt{35}+25}{5}$$