Datrys sqrt{98/981}

$$\sqrt{ \frac{ 98 }{ 981 } }$$

Enrhifo

$$\frac{7\sqrt{218}}{327}\approx 0.316066549$$

Camau Ateb

Ailysgrifennu ail isradd y rhaniad \sqrt{\frac{98}{981}} fel rhaniad ail israddau \frac{\sqrt{98}}{\sqrt{981}}.

$$\frac{\sqrt{98}}{\sqrt{981}}$$

Ffactora 98=7^{2}\times 2. Ailysgrifennu ail isradd y lluoswm \sqrt{7^{2}\times 2} fel lluoswm ail israddau \sqrt{7^{2}}\sqrt{2}. Cymryd isradd 7^{2}.

$$\frac{7\sqrt{2}}{\sqrt{981}}$$

Ffactora 981=3^{2}\times 109. Ailysgrifennu ail isradd y lluoswm \sqrt{3^{2}\times 109} fel lluoswm ail israddau \sqrt{3^{2}}\sqrt{109}. Cymryd isradd 3^{2}.

$$\frac{7\sqrt{2}}{3\sqrt{109}}$$

Mae'n rhesymoli enwadur \frac{7\sqrt{2}}{3\sqrt{109}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{109}.

$$\frac{7\sqrt{2}\sqrt{109}}{3\left(\sqrt{109}\right)^{2}}$$

Sgwâr \sqrt{109} yw 109.

$$\frac{7\sqrt{2}\sqrt{109}}{3\times 109}$$

I luosi \sqrt{2} a \sqrt{109}, dylid lluosi'r rhifau dan yr ail isradd.

$$\frac{7\sqrt{218}}{3\times 109}$$

Lluosi 3 a 109 i gael 327.

$$\frac{7\sqrt{218}}{327}$$