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

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

វាយតម្លៃ

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

ជំហានចម្លើយ

ដើម្បីគុណស្វ័យគុណនៃគោលដូចគ្នា ត្រូវបូក​និទស្សន្តរបស់ពួកវា។ បូក -27 និង -16 ដើម្បីទទួលបាន -43។

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

គុណ 6 និង 62 ដើម្បីបាន 372។

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

គុណ 372 និង 6 ដើម្បីបាន 2232។

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

គណនាស្វ័យគុណ 10 នៃ -24 ហើយបាន \frac{1}{1000000000000000000000000}។

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

គុណ 2232 និង \frac{1}{1000000000000000000000000} ដើម្បីបាន \frac{279}{125000000000000000000000}។

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

គុណ 2 និង 167 ដើម្បីបាន 334។

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

គណនាស្វ័យគុណ 10 នៃ -43 ហើយបាន \frac{1}{10000000000000000000000000000000000000000000}។

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

គុណ 334 និង \frac{1}{10000000000000000000000000000000000000000000} ដើម្បីបាន \frac{167}{5000000000000000000000000000000000000000000}។

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

គុណ \frac{167}{5000000000000000000000000000000000000000000} និង 81 ដើម្បីបាន \frac{13527}{5000000000000000000000000000000000000000000}។

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

គុណ \frac{13527}{5000000000000000000000000000000000000000000} និង 9 ដើម្បីបាន \frac{121743}{5000000000000000000000000000000000000000000}។

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

សរសេរ​ឡើងវិញនូវឬសការេនៃការចែក​ \sqrt{\frac{121743}{5000000000000000000000000000000000000000000}} ជា​ការចែកនៃឬសការេ \frac{\sqrt{121743}}{\sqrt{5000000000000000000000000000000000000000000}}។​

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

ដាក់ជាកត្តា 121743=27^{2}\times 167។ សរសេរឡើងវិញ​នូវឬសការេនៃផលគុណ \sqrt{27^{2}\times 167} ជាផលគុណ​នៃ​ឬស​ការេ \sqrt{27^{2}}\sqrt{167}។​ យកឬសការ៉េនៃ 27^{2}។

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

ដាក់ជាកត្តា 5000000000000000000000000000000000000000000=1000000000000000000000^{2}\times 5។ សរសេរឡើងវិញ​នូវឬសការេនៃផលគុណ \sqrt{1000000000000000000000^{2}\times 5} ជាផលគុណ​នៃ​ឬស​ការេ \sqrt{1000000000000000000000^{2}}\sqrt{5}។​ យកឬសការ៉េនៃ 1000000000000000000000^{2}។

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

ធ្វើសនិទានកម្ម​ភាគបែង​នៃ \frac{27\sqrt{167}}{1000000000000000000000\sqrt{5}} ដោយគុណ​ភាគយក​ និង​ភាគបែង​​នឹង \sqrt{5}។​

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

ការេនៃ \sqrt{5} គឺ 5។​

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

ដើម្បីគុណ \sqrt{167} និង \sqrt{5} គុណ​លេខ​នៅក្រោម​ឬសការេ។​

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

គុណ 1000000000000000000000 និង 5 ដើម្បីបាន 5000000000000000000000។

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

ចែក \frac{279}{125000000000000000000000} នឹង \frac{27\sqrt{835}}{5000000000000000000000} ដោយការគុណ \frac{279}{125000000000000000000000} នឹងប្រភាគផ្ទុយគ្នានៃ \frac{27\sqrt{835}}{5000000000000000000000}.

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

សម្រួល 9\times 5000000000000000000000 ទាំងនៅក្នុងភាគយក និងភាគបែង។

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

ធ្វើសនិទានកម្ម​ភាគបែង​នៃ \frac{31}{3\times 25\sqrt{835}} ដោយគុណ​ភាគយក​ និង​ភាគបែង​​នឹង \sqrt{835}។​

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

ការេនៃ \sqrt{835} គឺ 835។​

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

គុណ 3 និង 25 ដើម្បីបាន 75។

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

គុណ 75 និង 835 ដើម្បីបាន 62625។

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