Réitigh 6*62*6*10^-24/sqrt{2*1.67*10^-27*81*9*10^-16}

$$\frac { 6 \cdot 62 \cdot 6 \times 10 ^ { - 24 } } { \sqrt { 2 \times 1.67 \times 10 ^ { - 27 } \times 81 \cdot 9 \times 10 ^ { - 16 } } }$$

Luacháil

$$\frac{62\sqrt{835}}{12525}\approx 0.143039898$$

Céimeanna Réitigh

Chun cumhachtaí den bhonn céanna a iolrú, suimigh a n-easpónaint. Suimigh -27 agus -16 chun -43 a bhaint amach.

$$\frac{6\times 62\times 6\times 10^{-24}}{\sqrt{2\times 1.67\times 10^{-43}\times 81\times 9}}$$

Méadaigh 6 agus 62 chun 372 a fháil.

$$\frac{372\times 6\times 10^{-24}}{\sqrt{2\times 1.67\times 10^{-43}\times 81\times 9}}$$

Méadaigh 372 agus 6 chun 2232 a fháil.

$$\frac{2232\times 10^{-24}}{\sqrt{2\times 1.67\times 10^{-43}\times 81\times 9}}$$

Ríomh cumhacht 10 de -24 agus faigh \frac{1}{1000000000000000000000000}.

$$\frac{2232\times \frac{1}{1000000000000000000000000}}{\sqrt{2\times 1.67\times 10^{-43}\times 81\times 9}}$$

Méadaigh 2232 agus \frac{1}{1000000000000000000000000} chun \frac{279}{125000000000000000000000} a fháil.

$$\frac{\frac{279}{125000000000000000000000}}{\sqrt{2\times 1.67\times 10^{-43}\times 81\times 9}}$$

Méadaigh 2 agus 1.67 chun 3.34 a fháil.

$$\frac{\frac{279}{125000000000000000000000}}{\sqrt{3.34\times 10^{-43}\times 81\times 9}}$$

Ríomh cumhacht 10 de -43 agus faigh \frac{1}{10000000000000000000000000000000000000000000}.

$$\frac{\frac{279}{125000000000000000000000}}{\sqrt{3.34\times \frac{1}{10000000000000000000000000000000000000000000}\times 81\times 9}}$$

Méadaigh 3.34 agus \frac{1}{10000000000000000000000000000000000000000000} chun \frac{167}{500000000000000000000000000000000000000000000} a fháil.

$$\frac{\frac{279}{125000000000000000000000}}{\sqrt{\frac{167}{500000000000000000000000000000000000000000000}\times 81\times 9}}$$

Méadaigh \frac{167}{500000000000000000000000000000000000000000000} agus 81 chun \frac{13527}{500000000000000000000000000000000000000000000} a fháil.

$$\frac{\frac{279}{125000000000000000000000}}{\sqrt{\frac{13527}{500000000000000000000000000000000000000000000}\times 9}}$$

Méadaigh \frac{13527}{500000000000000000000000000000000000000000000} agus 9 chun \frac{121743}{500000000000000000000000000000000000000000000} a fháil.

$$\frac{\frac{279}{125000000000000000000000}}{\sqrt{\frac{121743}{500000000000000000000000000000000000000000000}}}$$

Athscríobh fréamh cearnach na roinnte \sqrt{\frac{121743}{500000000000000000000000000000000000000000000}} mar roinnt na bhfréamhacha cearnacha \frac{\sqrt{121743}}{\sqrt{500000000000000000000000000000000000000000000}}.

$$\frac{\frac{279}{125000000000000000000000}}{\frac{\sqrt{121743}}{\sqrt{500000000000000000000000000000000000000000000}}}$$

Fachtóirigh 121743=27^{2}\times 167. Athscríobh fréamh cearnach an toraidh \sqrt{27^{2}\times 167} mar thoradh na bhfréamhacha cearnacha \sqrt{27^{2}}\sqrt{167}. Tóg fréamh chearnach 27^{2}.

$$\frac{\frac{279}{125000000000000000000000}}{\frac{27\sqrt{167}}{\sqrt{500000000000000000000000000000000000000000000}}}$$

Fachtóirigh 500000000000000000000000000000000000000000000=10000000000000000000000^{2}\times 5. Athscríobh fréamh cearnach an toraidh \sqrt{10000000000000000000000^{2}\times 5} mar thoradh na bhfréamhacha cearnacha \sqrt{10000000000000000000000^{2}}\sqrt{5}. Tóg fréamh chearnach 10000000000000000000000^{2}.

$$\frac{\frac{279}{125000000000000000000000}}{\frac{27\sqrt{167}}{10000000000000000000000\sqrt{5}}}$$

Iolraigh an t-uimhreoir agus an t-ainmneoir faoi \sqrt{5} chun ainmneoir \frac{27\sqrt{167}}{10000000000000000000000\sqrt{5}} a thiontú in uimhir chóimheasta.

$$\frac{\frac{279}{125000000000000000000000}}{\frac{27\sqrt{167}\sqrt{5}}{10000000000000000000000\left(\sqrt{5}\right)^{2}}}$$

Is é 5 uimhir chearnach \sqrt{5}.

$$\frac{\frac{279}{125000000000000000000000}}{\frac{27\sqrt{167}\sqrt{5}}{10000000000000000000000\times 5}}$$

Iolraigh na huimhreacha faoin bhfréamh cearnach chun \sqrt{167} agus \sqrt{5} a iolrú.

$$\frac{\frac{279}{125000000000000000000000}}{\frac{27\sqrt{835}}{10000000000000000000000\times 5}}$$

Méadaigh 10000000000000000000000 agus 5 chun 50000000000000000000000 a fháil.

$$\frac{\frac{279}{125000000000000000000000}}{\frac{27\sqrt{835}}{50000000000000000000000}}$$

Roinn \frac{279}{125000000000000000000000} faoi \frac{27\sqrt{835}}{50000000000000000000000} trí \frac{279}{125000000000000000000000} a mhéadú faoi dheilín \frac{27\sqrt{835}}{50000000000000000000000}.

$$\frac{279\times 50000000000000000000000}{125000000000000000000000\times 27\sqrt{835}}$$

Cealaigh 9\times 25000000000000000000000 mar uimhreoir agus ainmneoir.

$$\frac{2\times 31}{3\times 5\sqrt{835}}$$

Iolraigh an t-uimhreoir agus an t-ainmneoir faoi \sqrt{835} chun ainmneoir \frac{2\times 31}{3\times 5\sqrt{835}} a thiontú in uimhir chóimheasta.

$$\frac{2\times 31\sqrt{835}}{3\times 5\left(\sqrt{835}\right)^{2}}$$

Is é 835 uimhir chearnach \sqrt{835}.

$$\frac{2\times 31\sqrt{835}}{3\times 5\times 835}$$

Méadaigh 2 agus 31 chun 62 a fháil.

$$\frac{62\sqrt{835}}{3\times 5\times 835}$$

Méadaigh 3 agus 5 chun 15 a fháil.

$$\frac{62\sqrt{835}}{15\times 835}$$

Méadaigh 15 agus 835 chun 12525 a fháil.

$$\frac{62\sqrt{835}}{12525}$$