ដោះស្រាយ sqrt{2*16*10^-19*500/91*10^31}

$$\sqrt{ \frac{ 2 \times 16 \times { 10 }^{ -19 } \times 500 }{ 91 \times { 10 }^{ 31 } } }$$

វាយតម្លៃ

$$\frac{\sqrt{910}}{22750000000000000000000000}\approx 1.325987088 \cdot 10^{-24}$$

ជំហានចម្លើយ

ដើម្បីចែកស្វ័យគុណនៃគោលដូចគ្នា ត្រូវដក​និទស្សន្តរបស់ភាគបែងពីនិទស្សន្តរបស់ភាគយក។

$$\sqrt{\frac{2\times 16\times 500}{91\times 10^{50}}}$$

គុណ 2 និង 16 ដើម្បីបាន 32។

$$\sqrt{\frac{32\times 500}{91\times 10^{50}}}$$

គុណ 32 និង 500 ដើម្បីបាន 16000។

$$\sqrt{\frac{16000}{91\times 10^{50}}}$$

គណនាស្វ័យគុណ 10 នៃ 50 ហើយបាន 100000000000000000000000000000000000000000000000000។

$$\sqrt{\frac{16000}{91\times 100000000000000000000000000000000000000000000000000}}$$

គុណ 91 និង 100000000000000000000000000000000000000000000000000 ដើម្បីបាន 9100000000000000000000000000000000000000000000000000។

$$\sqrt{\frac{16000}{9100000000000000000000000000000000000000000000000000}}$$

កាត់បន្ថយប្រភាគ \frac{16000}{9100000000000000000000000000000000000000000000000000} ទៅតួដែលតូចបំផុតដោយ​ដក និងលុបចេញ 16000។

$$\sqrt{\frac{1}{568750000000000000000000000000000000000000000000}}$$

សរសេរ​ឡើងវិញនូវឬសការេនៃការចែក​ \sqrt{\frac{1}{568750000000000000000000000000000000000000000000}} ជា​ការចែកនៃឬសការេ \frac{\sqrt{1}}{\sqrt{568750000000000000000000000000000000000000000000}}។​

$$\frac{\sqrt{1}}{\sqrt{568750000000000000000000000000000000000000000000}}$$

គណនាឬសការេនៃ 1 ហើយទទួលបាន 1។

$$\frac{1}{\sqrt{568750000000000000000000000000000000000000000000}}$$

ដាក់ជាកត្តា 568750000000000000000000000000000000000000000000=25000000000000000000000^{2}\times 910។ សរសេរឡើងវិញ​នូវឬសការេនៃផលគុណ \sqrt{25000000000000000000000^{2}\times 910} ជាផលគុណ​នៃ​ឬស​ការេ \sqrt{25000000000000000000000^{2}}\sqrt{910}។​ យកឬសការ៉េនៃ 25000000000000000000000^{2}។

$$\frac{1}{25000000000000000000000\sqrt{910}}$$

ធ្វើសនិទានកម្ម​ភាគបែង​នៃ \frac{1}{25000000000000000000000\sqrt{910}} ដោយគុណ​ភាគយក​ និង​ភាគបែង​​នឹង \sqrt{910}។​

$$\frac{\sqrt{910}}{25000000000000000000000\left(\sqrt{910}\right)^{2}}$$

ការេនៃ \sqrt{910} គឺ 910។​

$$\frac{\sqrt{910}}{25000000000000000000000\times 910}$$

គុណ 25000000000000000000000 និង 910 ដើម្បីបាន 22750000000000000000000000។

$$\frac{\sqrt{910}}{22750000000000000000000000}$$