Datrys sqrt{6.67*10^-11*1.99*10^30/4.59*10^10}

$$\sqrt { \frac { 6.67 \times 10 ^ { - 11 } \times 1.99 \times 10 ^ { 30 } } { 4.59 \times 10 ^ { 10 } } }$$

Enrhifo

$$\frac{1000\sqrt{67693830}}{153}\approx 53775.333493849$$

Camau Ateb

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

$$\sqrt{\frac{6.67\times 10^{19}\times 1.99}{4.59\times 10^{10}}}$$

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

$$\sqrt{\frac{1.99\times 6.67\times 10^{9}}{4.59}}$$

Lluosi 1.99 a 6.67 i gael 13.2733.

$$\sqrt{\frac{13.2733\times 10^{9}}{4.59}}$$

Cyfrifo 10 i bŵer 9 a chael 1000000000.

$$\sqrt{\frac{13.2733\times 1000000000}{4.59}}$$

Lluosi 13.2733 a 1000000000 i gael 13273300000.

$$\sqrt{\frac{13273300000}{4.59}}$$

Ehangu \frac{13273300000}{4.59} drwy luosi'r rhifiadur a'r enwadur gyda 100.

$$\sqrt{\frac{1327330000000}{459}}$$

Ailysgrifennu ail isradd y rhaniad \sqrt{\frac{1327330000000}{459}} fel rhaniad ail israddau \frac{\sqrt{1327330000000}}{\sqrt{459}}.

$$\frac{\sqrt{1327330000000}}{\sqrt{459}}$$

Ffactora 1327330000000=1000^{2}\times 1327330. Ailysgrifennu ail isradd y lluoswm \sqrt{1000^{2}\times 1327330} fel lluoswm ail israddau \sqrt{1000^{2}}\sqrt{1327330}. Cymryd isradd 1000^{2}.

$$\frac{1000\sqrt{1327330}}{\sqrt{459}}$$

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}.

$$\frac{1000\sqrt{1327330}}{3\sqrt{51}}$$

Mae'n rhesymoli enwadur \frac{1000\sqrt{1327330}}{3\sqrt{51}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{51}.

$$\frac{1000\sqrt{1327330}\sqrt{51}}{3\left(\sqrt{51}\right)^{2}}$$

Sgwâr \sqrt{51} yw 51.

$$\frac{1000\sqrt{1327330}\sqrt{51}}{3\times 51}$$

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

$$\frac{1000\sqrt{67693830}}{3\times 51}$$

Lluosi 3 a 51 i gael 153.

$$\frac{1000\sqrt{67693830}}{153}$$