ដោះស្រាយ sqrt{2.92114*10^36/2.96*10^-19}

$$\sqrt{ \frac{ 2.92114 \times { 10 }^{ 36 } }{ 2.96 \times { 10 }^{ -19 } } }$$

វាយតម្លៃ

$$\frac{50000000000000000000000000\sqrt{5404109}}{37}\approx 3.141451291 \cdot 10^{27}$$

ជំហានចម្លើយ

ដើម្បីចែកស្វ័យគុណនៃគោលដូចគ្នា ត្រូវដក​និទស្សន្តរបស់ភាគបែងពីនិទស្សន្តរបស់ភាគយក។

$$\sqrt{\frac{2.92114\times 10^{55}}{2.96}}$$

គណនាស្វ័យគុណ 10 នៃ 55 ហើយបាន 10000000000000000000000000000000000000000000000000000000។

$$\sqrt{\frac{2.92114\times 10000000000000000000000000000000000000000000000000000000}{2.96}}$$

គុណ 2.92114 និង 10000000000000000000000000000000000000000000000000000000 ដើម្បីបាន 29211400000000000000000000000000000000000000000000000000។

$$\sqrt{\frac{29211400000000000000000000000000000000000000000000000000}{2.96}}$$

ពង្រីក \frac{29211400000000000000000000000000000000000000000000000000}{2.96} ដោយគុណទាំងភាគបែង និងភាគយកជាមួយនឹង 100។

$$\sqrt{\frac{2921140000000000000000000000000000000000000000000000000000}{296}}$$

កាត់បន្ថយប្រភាគ \frac{2921140000000000000000000000000000000000000000000000000000}{296} ទៅតួដែលតូចបំផុតដោយ​ដក និងលុបចេញ 8។

$$\sqrt{\frac{365142500000000000000000000000000000000000000000000000000}{37}}$$

សរសេរ​ឡើងវិញនូវឬសការេនៃការចែក​ \sqrt{\frac{365142500000000000000000000000000000000000000000000000000}{37}} ជា​ការចែកនៃឬសការេ \frac{\sqrt{365142500000000000000000000000000000000000000000000000000}}{\sqrt{37}}។​

$$\frac{\sqrt{365142500000000000000000000000000000000000000000000000000}}{\sqrt{37}}$$

ដាក់ជាកត្តា 365142500000000000000000000000000000000000000000000000000=50000000000000000000000000^{2}\times 146057។ សរសេរឡើងវិញ​នូវឬសការេនៃផលគុណ \sqrt{50000000000000000000000000^{2}\times 146057} ជាផលគុណ​នៃ​ឬស​ការេ \sqrt{50000000000000000000000000^{2}}\sqrt{146057}។​ យកឬសការ៉េនៃ 50000000000000000000000000^{2}។

$$\frac{50000000000000000000000000\sqrt{146057}}{\sqrt{37}}$$

ធ្វើសនិទានកម្ម​ភាគបែង​នៃ \frac{50000000000000000000000000\sqrt{146057}}{\sqrt{37}} ដោយគុណ​ភាគយក​ និង​ភាគបែង​​នឹង \sqrt{37}។​

$$\frac{50000000000000000000000000\sqrt{146057}\sqrt{37}}{\left(\sqrt{37}\right)^{2}}$$

ការេនៃ \sqrt{37} គឺ 37។​

$$\frac{50000000000000000000000000\sqrt{146057}\sqrt{37}}{37}$$

ដើម្បីគុណ \sqrt{146057} និង \sqrt{37} គុណ​លេខ​នៅក្រោម​ឬសការេ។​

$$\frac{50000000000000000000000000\sqrt{5404109}}{37}$$