Datrys 6*62*6*10^-24/sqrt{2*167*10^-27*81*9*10^-16}

$$\frac { 6 \cdot 62 \cdot 6 \times 10 ^ { - 24 } } { \sqrt { 2 \times 167 \times 10 ^ { - 27 } \times 81 \cdot 9 \times 10 ^ { - 16 } } }$$

Enrhifo

$$\frac{31\sqrt{835}}{62625}\approx 0.01430399$$

Camau Ateb

Er mwyn lluosi pwerau sy’n rhannu’r un sail, adiwch eu esbonyddion. Adiwch -27 a -16 i gael -43.

$$\frac{6\times 62\times 6\times 10^{-24}}{\sqrt{2\times 167\times 10^{-43}\times 81\times 9}}$$

Lluosi 6 a 62 i gael 372.

$$\frac{372\times 6\times 10^{-24}}{\sqrt{2\times 167\times 10^{-43}\times 81\times 9}}$$

Lluosi 372 a 6 i gael 2232.

$$\frac{2232\times 10^{-24}}{\sqrt{2\times 167\times 10^{-43}\times 81\times 9}}$$

Cyfrifo 10 i bŵer -24 a chael \frac{1}{1000000000000000000000000}.

$$\frac{2232\times \frac{1}{1000000000000000000000000}}{\sqrt{2\times 167\times 10^{-43}\times 81\times 9}}$$

Lluosi 2232 a \frac{1}{1000000000000000000000000} i gael \frac{279}{125000000000000000000000}.

$$\frac{\frac{279}{125000000000000000000000}}{\sqrt{2\times 167\times 10^{-43}\times 81\times 9}}$$

Lluosi 2 a 167 i gael 334.

$$\frac{\frac{279}{125000000000000000000000}}{\sqrt{334\times 10^{-43}\times 81\times 9}}$$

Cyfrifo 10 i bŵer -43 a chael \frac{1}{10000000000000000000000000000000000000000000}.

$$\frac{\frac{279}{125000000000000000000000}}{\sqrt{334\times \frac{1}{10000000000000000000000000000000000000000000}\times 81\times 9}}$$

Lluosi 334 a \frac{1}{10000000000000000000000000000000000000000000} i gael \frac{167}{5000000000000000000000000000000000000000000}.

$$\frac{\frac{279}{125000000000000000000000}}{\sqrt{\frac{167}{5000000000000000000000000000000000000000000}\times 81\times 9}}$$

Lluosi \frac{167}{5000000000000000000000000000000000000000000} a 81 i gael \frac{13527}{5000000000000000000000000000000000000000000}.

$$\frac{\frac{279}{125000000000000000000000}}{\sqrt{\frac{13527}{5000000000000000000000000000000000000000000}\times 9}}$$

Lluosi \frac{13527}{5000000000000000000000000000000000000000000} a 9 i gael \frac{121743}{5000000000000000000000000000000000000000000}.

$$\frac{\frac{279}{125000000000000000000000}}{\sqrt{\frac{121743}{5000000000000000000000000000000000000000000}}}$$

Ailysgrifennu ail isradd y rhaniad \sqrt{\frac{121743}{5000000000000000000000000000000000000000000}} fel rhaniad ail israddau \frac{\sqrt{121743}}{\sqrt{5000000000000000000000000000000000000000000}}.

$$\frac{\frac{279}{125000000000000000000000}}{\frac{\sqrt{121743}}{\sqrt{5000000000000000000000000000000000000000000}}}$$

Ffactora 121743=27^{2}\times 167. Ailysgrifennu ail isradd y lluoswm \sqrt{27^{2}\times 167} fel lluoswm ail israddau \sqrt{27^{2}}\sqrt{167}. Cymryd isradd 27^{2}.

$$\frac{\frac{279}{125000000000000000000000}}{\frac{27\sqrt{167}}{\sqrt{5000000000000000000000000000000000000000000}}}$$

Ffactora 5000000000000000000000000000000000000000000=1000000000000000000000^{2}\times 5. Ailysgrifennu ail isradd y lluoswm \sqrt{1000000000000000000000^{2}\times 5} fel lluoswm ail israddau \sqrt{1000000000000000000000^{2}}\sqrt{5}. Cymryd isradd 1000000000000000000000^{2}.

$$\frac{\frac{279}{125000000000000000000000}}{\frac{27\sqrt{167}}{1000000000000000000000\sqrt{5}}}$$

Mae'n rhesymoli enwadur \frac{27\sqrt{167}}{1000000000000000000000\sqrt{5}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{5}.

$$\frac{\frac{279}{125000000000000000000000}}{\frac{27\sqrt{167}\sqrt{5}}{1000000000000000000000\left(\sqrt{5}\right)^{2}}}$$

Sgwâr \sqrt{5} yw 5.

$$\frac{\frac{279}{125000000000000000000000}}{\frac{27\sqrt{167}\sqrt{5}}{1000000000000000000000\times 5}}$$

I luosi \sqrt{167} a \sqrt{5}, dylid lluosi'r rhifau dan yr ail isradd.

$$\frac{\frac{279}{125000000000000000000000}}{\frac{27\sqrt{835}}{1000000000000000000000\times 5}}$$

Lluosi 1000000000000000000000 a 5 i gael 5000000000000000000000.

$$\frac{\frac{279}{125000000000000000000000}}{\frac{27\sqrt{835}}{5000000000000000000000}}$$

Rhannwch \frac{279}{125000000000000000000000} â \frac{27\sqrt{835}}{5000000000000000000000} drwy luosi \frac{279}{125000000000000000000000} â chilydd \frac{27\sqrt{835}}{5000000000000000000000}.

$$\frac{279\times 5000000000000000000000}{125000000000000000000000\times 27\sqrt{835}}$$

Canslo 9\times 5000000000000000000000 yn y rhifiadur a'r enwadur.

$$\frac{31}{3\times 25\sqrt{835}}$$

Mae'n rhesymoli enwadur \frac{31}{3\times 25\sqrt{835}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{835}.

$$\frac{31\sqrt{835}}{3\times 25\left(\sqrt{835}\right)^{2}}$$

Sgwâr \sqrt{835} yw 835.

$$\frac{31\sqrt{835}}{3\times 25\times 835}$$

Lluosi 3 a 25 i gael 75.

$$\frac{31\sqrt{835}}{75\times 835}$$

Lluosi 75 a 835 i gael 62625.

$$\frac{31\sqrt{835}}{62625}$$