Datrys sqrt{17380/.5067*451}

$$\sqrt{ \frac{ 17380 }{ .5067 \times 451 } }$$

Enrhifo

$$\frac{200\sqrt{9117785}}{69249}\approx 8.720897116$$

Camau Ateb

Lluosi 0.5067 a 451 i gael 228.5217.

$$\sqrt{\frac{17380}{228.5217}}$$

Ehangu \frac{17380}{228.5217} drwy luosi'r rhifiadur a'r enwadur gyda 10000.

$$\sqrt{\frac{173800000}{2285217}}$$

Lleihau'r ffracsiwn \frac{173800000}{2285217} i'r graddau lleiaf posib drwy dynnu a chanslo allan 11.

$$\sqrt{\frac{15800000}{207747}}$$

Ailysgrifennu ail isradd y rhaniad \sqrt{\frac{15800000}{207747}} fel rhaniad ail israddau \frac{\sqrt{15800000}}{\sqrt{207747}}.

$$\frac{\sqrt{15800000}}{\sqrt{207747}}$$

Ffactora 15800000=200^{2}\times 395. Ailysgrifennu ail isradd y lluoswm \sqrt{200^{2}\times 395} fel lluoswm ail israddau \sqrt{200^{2}}\sqrt{395}. Cymryd isradd 200^{2}.

$$\frac{200\sqrt{395}}{\sqrt{207747}}$$

Ffactora 207747=3^{2}\times 23083. Ailysgrifennu ail isradd y lluoswm \sqrt{3^{2}\times 23083} fel lluoswm ail israddau \sqrt{3^{2}}\sqrt{23083}. Cymryd isradd 3^{2}.

$$\frac{200\sqrt{395}}{3\sqrt{23083}}$$

Mae'n rhesymoli enwadur \frac{200\sqrt{395}}{3\sqrt{23083}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{23083}.

$$\frac{200\sqrt{395}\sqrt{23083}}{3\left(\sqrt{23083}\right)^{2}}$$

Sgwâr \sqrt{23083} yw 23083.

$$\frac{200\sqrt{395}\sqrt{23083}}{3\times 23083}$$

I luosi \sqrt{395} a \sqrt{23083}, dylid lluosi'r rhifau dan yr ail isradd.

$$\frac{200\sqrt{9117785}}{3\times 23083}$$

Lluosi 3 a 23083 i gael 69249.

$$\frac{200\sqrt{9117785}}{69249}$$