ដោះស្រាយ sqrt{10^-72left(10^-1236005+10^-14right)/10^-72+005}=

$$\sqrt{ \frac{ { 10 }^{ -72 } \left( { 10 }^{ -1236 } 005+ { 10 }^{ -14 } \right) }{ { 10 }^{ -72 } +005 } } =$$

វាយតម្លៃ

$$\frac{1}{10000000}=0.0000001$$

ជំហានចម្លើយ

គណនាស្វ័យគុណ 10 នៃ -72 ហើយបាន \frac{1}{1000000000000000000000000000000000000000000000000000000000000000000000000}។

$$\sqrt{\frac{\frac{1}{1000000000000000000000000000000000000000000000000000000000000000000000000}\left(10^{-1236}\times 0\times 0\times 5+10^{-14}\right)}{10^{-72}+0\times 0\times 5}}$$

គណនាស្វ័យគុណ 10 នៃ -1236 ហើយបាន \frac{1}{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}។

$$\sqrt{\frac{\frac{1}{1000000000000000000000000000000000000000000000000000000000000000000000000}\left(\frac{1}{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}\times 0\times 0\times 5+10^{-14}\right)}{10^{-72}+0\times 0\times 5}}$$

គុណ \frac{1}{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000} និង 0 ដើម្បីបាន 0។

$$\sqrt{\frac{\frac{1}{1000000000000000000000000000000000000000000000000000000000000000000000000}\left(0\times 0\times 5+10^{-14}\right)}{10^{-72}+0\times 0\times 5}}$$

គុណ 0 និង 0 ដើម្បីបាន 0។

$$\sqrt{\frac{\frac{1}{1000000000000000000000000000000000000000000000000000000000000000000000000}\left(0\times 5+10^{-14}\right)}{10^{-72}+0\times 0\times 5}}$$

គុណ 0 និង 5 ដើម្បីបាន 0។

$$\sqrt{\frac{\frac{1}{1000000000000000000000000000000000000000000000000000000000000000000000000}\left(0+10^{-14}\right)}{10^{-72}+0\times 0\times 5}}$$

គណនាស្វ័យគុណ 10 នៃ -14 ហើយបាន \frac{1}{100000000000000}។

$$\sqrt{\frac{\frac{1}{1000000000000000000000000000000000000000000000000000000000000000000000000}\left(0+\frac{1}{100000000000000}\right)}{10^{-72}+0\times 0\times 5}}$$

បូក 0 និង \frac{1}{100000000000000} ដើម្បីបាន \frac{1}{100000000000000}។

$$\sqrt{\frac{\frac{1}{1000000000000000000000000000000000000000000000000000000000000000000000000}\times \frac{1}{100000000000000}}{10^{-72}+0\times 0\times 5}}$$

គុណ \frac{1}{1000000000000000000000000000000000000000000000000000000000000000000000000} និង \frac{1}{100000000000000} ដើម្បីបាន \frac{1}{100000000000000000000000000000000000000000000000000000000000000000000000000000000000000}។

$$\sqrt{\frac{\frac{1}{100000000000000000000000000000000000000000000000000000000000000000000000000000000000000}}{10^{-72}+0\times 0\times 5}}$$

គណនាស្វ័យគុណ 10 នៃ -72 ហើយបាន \frac{1}{1000000000000000000000000000000000000000000000000000000000000000000000000}។

$$\sqrt{\frac{\frac{1}{100000000000000000000000000000000000000000000000000000000000000000000000000000000000000}}{\frac{1}{1000000000000000000000000000000000000000000000000000000000000000000000000}+0\times 0\times 5}}$$

គុណ 0 និង 0 ដើម្បីបាន 0។

$$\sqrt{\frac{\frac{1}{100000000000000000000000000000000000000000000000000000000000000000000000000000000000000}}{\frac{1}{1000000000000000000000000000000000000000000000000000000000000000000000000}+0\times 5}}$$

គុណ 0 និង 5 ដើម្បីបាន 0។

$$\sqrt{\frac{\frac{1}{100000000000000000000000000000000000000000000000000000000000000000000000000000000000000}}{\frac{1}{1000000000000000000000000000000000000000000000000000000000000000000000000}+0}}$$

បូក \frac{1}{1000000000000000000000000000000000000000000000000000000000000000000000000} និង 0 ដើម្បីបាន \frac{1}{1000000000000000000000000000000000000000000000000000000000000000000000000}។

$$\sqrt{\frac{\frac{1}{100000000000000000000000000000000000000000000000000000000000000000000000000000000000000}}{\frac{1}{1000000000000000000000000000000000000000000000000000000000000000000000000}}}$$

ចែក \frac{1}{100000000000000000000000000000000000000000000000000000000000000000000000000000000000000} នឹង \frac{1}{1000000000000000000000000000000000000000000000000000000000000000000000000} ដោយការគុណ \frac{1}{100000000000000000000000000000000000000000000000000000000000000000000000000000000000000} នឹងប្រភាគផ្ទុយគ្នានៃ \frac{1}{1000000000000000000000000000000000000000000000000000000000000000000000000}.

$$\sqrt{\frac{1}{100000000000000000000000000000000000000000000000000000000000000000000000000000000000000}\times 1000000000000000000000000000000000000000000000000000000000000000000000000}$$

គុណ \frac{1}{100000000000000000000000000000000000000000000000000000000000000000000000000000000000000} និង 1000000000000000000000000000000000000000000000000000000000000000000000000 ដើម្បីបាន \frac{1}{100000000000000}។

$$\sqrt{\frac{1}{100000000000000}}$$

សរសេរ​ឡើងវិញនូវឬសការេនៃការចែក​ \frac{1}{100000000000000} ជា​ការចែកនៃឬសការេ \frac{\sqrt{1}}{\sqrt{100000000000000}}។​ យកឫសការ៉េនៃភាគយកនិងភាគបែង។

$$\frac{1}{10000000}$$

ដាក់ជាកត្តា

$$\frac{1}{2 ^ {7} \cdot 5 ^ {7}} = 1 \times 10^{-7}$$