ដោះស្រាយ frac{2left(0.8+sqrt{2}right)}{{left(0.2sqrt{2}-0.06right)}^2}

$$\frac{ 2 \left( 0.8+ \sqrt{ 2 } \right) }{ { \left(0.2 \sqrt{ 2 } -0.06 \right) }^{ 2 } }$$

វាយតម្លៃ

$$\frac{1285000\sqrt{2}+1436000}{36481}\approx 89.176953144$$

ជំហានចម្លើយ

ប្រើទ្រឹស្ដីបទទ្វេរធា \left(a-b\right)^{2}=a^{2}-2ab+b^{2} ដើម្បីពង្រីក \left(0.2\sqrt{2}-0.06\right)^{2}។

$$\frac{2\left(0.8+\sqrt{2}\right)}{0.04\left(\sqrt{2}\right)^{2}-0.024\sqrt{2}+0.0036}$$

ការេនៃ \sqrt{2} គឺ 2។​

$$\frac{2\left(0.8+\sqrt{2}\right)}{0.04\times 2-0.024\sqrt{2}+0.0036}$$

គុណ 0.04 និង 2 ដើម្បីបាន 0.08។

$$\frac{2\left(0.8+\sqrt{2}\right)}{0.08-0.024\sqrt{2}+0.0036}$$

បូក 0.08 និង 0.0036 ដើម្បីបាន 0.0836។

$$\frac{2\left(0.8+\sqrt{2}\right)}{0.0836-0.024\sqrt{2}}$$

ធ្វើសនិទានកម្ម​ភាគបែង​នៃ \frac{2\left(0.8+\sqrt{2}\right)}{0.0836-0.024\sqrt{2}} ដោយគុណ​ភាគយក​ និង​ភាគបែង​​នឹង 0.0836+0.024\sqrt{2}។​

$$\frac{2\left(0.8+\sqrt{2}\right)\left(0.0836+0.024\sqrt{2}\right)}{\left(0.0836-0.024\sqrt{2}\right)\left(0.0836+0.024\sqrt{2}\right)}$$

ពិនិត្យ \left(0.0836-0.024\sqrt{2}\right)\left(0.0836+0.024\sqrt{2}\right)។ ផលគុណអាចបម្លែងទៅជាផលដកនៃការេដោយប្រើវិធាន៖ \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}។

$$\frac{2\left(0.8+\sqrt{2}\right)\left(0.0836+0.024\sqrt{2}\right)}{0.0836^{2}-\left(-0.024\sqrt{2}\right)^{2}}$$

គណនាស្វ័យគុណ 0.0836 នៃ 2 ហើយបាន 0.00698896។

$$\frac{2\left(0.8+\sqrt{2}\right)\left(0.0836+0.024\sqrt{2}\right)}{0.00698896-\left(-0.024\sqrt{2}\right)^{2}}$$

ពន្លាត \left(-0.024\sqrt{2}\right)^{2}។

$$\frac{2\left(0.8+\sqrt{2}\right)\left(0.0836+0.024\sqrt{2}\right)}{0.00698896-\left(-0.024\right)^{2}\left(\sqrt{2}\right)^{2}}$$

គណនាស្វ័យគុណ -0.024 នៃ 2 ហើយបាន 0.000576។

$$\frac{2\left(0.8+\sqrt{2}\right)\left(0.0836+0.024\sqrt{2}\right)}{0.00698896-0.000576\left(\sqrt{2}\right)^{2}}$$

ការេនៃ \sqrt{2} គឺ 2។​

$$\frac{2\left(0.8+\sqrt{2}\right)\left(0.0836+0.024\sqrt{2}\right)}{0.00698896-0.000576\times 2}$$

គុណ 0.000576 និង 2 ដើម្បីបាន 0.001152។

$$\frac{2\left(0.8+\sqrt{2}\right)\left(0.0836+0.024\sqrt{2}\right)}{0.00698896-0.001152}$$

ដក​ 0.001152 ពី 0.00698896 ដើម្បីបាន 0.00583696។

$$\frac{2\left(0.8+\sqrt{2}\right)\left(0.0836+0.024\sqrt{2}\right)}{0.00583696}$$

ចែក 2\left(0.8+\sqrt{2}\right)\left(0.0836+0.024\sqrt{2}\right) នឹង 0.00583696 ដើម្បីបាន\frac{12500000}{36481}\left(0.8+\sqrt{2}\right)\left(0.0836+0.024\sqrt{2}\right)។

$$\frac{12500000}{36481}\left(0.8+\sqrt{2}\right)\left(0.0836+0.024\sqrt{2}\right)$$

ប្រើលក្ខណៈបំបែក​ដើម្បីគុណ \frac{12500000}{36481} នឹង 0.8+\sqrt{2}។

$$\left(\frac{10000000}{36481}+\frac{12500000}{36481}\sqrt{2}\right)\left(0.0836+0.024\sqrt{2}\right)$$

ប្រើលក្ខណៈបំបែក​ដើម្បីគុណ \frac{10000000}{36481}+\frac{12500000}{36481}\sqrt{2} នឹង 0.0836+0.024\sqrt{2} ហើយបន្សំដូចតួ។

$$\frac{836000}{36481}+\frac{1285000}{36481}\sqrt{2}+\frac{300000}{36481}\left(\sqrt{2}\right)^{2}$$

ការេនៃ \sqrt{2} គឺ 2។​

$$\frac{836000}{36481}+\frac{1285000}{36481}\sqrt{2}+\frac{300000}{36481}\times 2$$

គុណ \frac{300000}{36481} និង 2 ដើម្បីបាន \frac{600000}{36481}។

$$\frac{836000}{36481}+\frac{1285000}{36481}\sqrt{2}+\frac{600000}{36481}$$

បូក \frac{836000}{36481} និង \frac{600000}{36481} ដើម្បីបាន \frac{1436000}{36481}។

$$\frac{1436000}{36481}+\frac{1285000}{36481}\sqrt{2}$$