Datrys sqrt{832*468/21*1001}

$$\sqrt { \frac { 832 \times 468 } { 21 \times 1001 } }$$

Enrhifo

$$\frac{16\sqrt{429}}{77}\approx 4.303857699$$

Camau Ateb

Canslo 3\times 13 yn y rhifiadur a'r enwadur.

$$\sqrt{\frac{64\times 156}{7\times 77}}$$

Lluosi 64 a 156 i gael 9984.

$$\sqrt{\frac{9984}{7\times 77}}$$

Lluosi 7 a 77 i gael 539.

$$\sqrt{\frac{9984}{539}}$$

Ailysgrifennu ail isradd y rhaniad \sqrt{\frac{9984}{539}} fel rhaniad ail israddau \frac{\sqrt{9984}}{\sqrt{539}}.

$$\frac{\sqrt{9984}}{\sqrt{539}}$$

Ffactora 9984=16^{2}\times 39. Ailysgrifennu ail isradd y lluoswm \sqrt{16^{2}\times 39} fel lluoswm ail israddau \sqrt{16^{2}}\sqrt{39}. Cymryd isradd 16^{2}.

$$\frac{16\sqrt{39}}{\sqrt{539}}$$

Ffactora 539=7^{2}\times 11. Ailysgrifennu ail isradd y lluoswm \sqrt{7^{2}\times 11} fel lluoswm ail israddau \sqrt{7^{2}}\sqrt{11}. Cymryd isradd 7^{2}.

$$\frac{16\sqrt{39}}{7\sqrt{11}}$$

Mae'n rhesymoli enwadur \frac{16\sqrt{39}}{7\sqrt{11}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{11}.

$$\frac{16\sqrt{39}\sqrt{11}}{7\left(\sqrt{11}\right)^{2}}$$

Sgwâr \sqrt{11} yw 11.

$$\frac{16\sqrt{39}\sqrt{11}}{7\times 11}$$

I luosi \sqrt{39} a \sqrt{11}, dylid lluosi'r rhifau dan yr ail isradd.

$$\frac{16\sqrt{429}}{7\times 11}$$

Lluosi 7 a 11 i gael 77.

$$\frac{16\sqrt{429}}{77}$$