Datrys sqrt{667*10^-11*199*10^30/459*10^10}

$$\sqrt { \frac { 667 \times 10 ^ { - 11 } \times 199 \times 10 ^ { 30 } } { 459 \times 10 ^ { 10 } } }$$

Enrhifo

$$\frac{10000\sqrt{67693830}}{153}\approx 537753.334938495$$

Camau Ateb

Er mwyn lluosi pwerau sy’n rhannu’r un sail, adiwch eu esbonyddion. Adiwch -11 a 30 i gael 19.

$$\sqrt{\frac{667\times 10^{19}\times 199}{459\times 10^{10}}}$$

Canslo 10^{10} yn y rhifiadur a'r enwadur.

$$\sqrt{\frac{199\times 667\times 10^{9}}{459}}$$

Lluosi 199 a 667 i gael 132733.

$$\sqrt{\frac{132733\times 10^{9}}{459}}$$

Cyfrifo 10 i bŵer 9 a chael 1000000000.

$$\sqrt{\frac{132733\times 1000000000}{459}}$$

Lluosi 132733 a 1000000000 i gael 132733000000000.

$$\sqrt{\frac{132733000000000}{459}}$$

Ailysgrifennu ail isradd y rhaniad \sqrt{\frac{132733000000000}{459}} fel rhaniad ail israddau \frac{\sqrt{132733000000000}}{\sqrt{459}}.

$$\frac{\sqrt{132733000000000}}{\sqrt{459}}$$

Ffactora 132733000000000=10000^{2}\times 1327330. Ailysgrifennu ail isradd y lluoswm \sqrt{10000^{2}\times 1327330} fel lluoswm ail israddau \sqrt{10000^{2}}\sqrt{1327330}. Cymryd isradd 10000^{2}.

$$\frac{10000\sqrt{1327330}}{\sqrt{459}}$$

Ffactora 459=3^{2}\times 51. Ailysgrifennu ail isradd y lluoswm \sqrt{3^{2}\times 51} fel lluoswm ail israddau \sqrt{3^{2}}\sqrt{51}. Cymryd isradd 3^{2}.

$$\frac{10000\sqrt{1327330}}{3\sqrt{51}}$$

Mae'n rhesymoli enwadur \frac{10000\sqrt{1327330}}{3\sqrt{51}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{51}.

$$\frac{10000\sqrt{1327330}\sqrt{51}}{3\left(\sqrt{51}\right)^{2}}$$

Sgwâr \sqrt{51} yw 51.

$$\frac{10000\sqrt{1327330}\sqrt{51}}{3\times 51}$$

I luosi \sqrt{1327330} a \sqrt{51}, dylid lluosi'r rhifau dan yr ail isradd.

$$\frac{10000\sqrt{67693830}}{3\times 51}$$

Lluosi 3 a 51 i gael 153.

$$\frac{10000\sqrt{67693830}}{153}$$