Lutasin ang 2*250/0.05^2*1.256610^-6frac{8*1.58*154{sqrt{12}5*0.2}}

$$\frac{ 2 \cdot 250 }{ { 0.05 }^{ 2 } \times 1.2566 { 10 }^{ -6 } \frac{ 8 \cdot 1.58 \cdot 154 }{ \sqrt{ 12 } 5 \cdot 0.2 } }$$

I-evaluate

$$\frac{6250000000000000\sqrt{3}}{38219489}\approx 283240771.41129446$$

Mga Hakbang ng Solution

I-multiply ang 2 at 250 para makuha ang 500.

$$\frac{500}{1.2566\times 0.05^{2}\times 10^{-6}\times \frac{8\times 1.58\times 154}{0.2\times 5\sqrt{12}}}$$

Kalkulahin ang 0.05 sa power ng 2 at kunin ang 0.0025.

$$\frac{500}{1.2566\times 0.0025\times 10^{-6}\times \frac{8\times 1.58\times 154}{0.2\times 5\sqrt{12}}}$$

I-multiply ang 1.2566 at 0.0025 para makuha ang 0.0031415.

$$\frac{500}{0.0031415\times 10^{-6}\times \frac{8\times 1.58\times 154}{0.2\times 5\sqrt{12}}}$$

Kalkulahin ang 10 sa power ng -6 at kunin ang \frac{1}{1000000}.

$$\frac{500}{0.0031415\times \frac{1}{1000000}\times \frac{8\times 1.58\times 154}{0.2\times 5\sqrt{12}}}$$

I-multiply ang 0.0031415 at \frac{1}{1000000} para makuha ang \frac{6283}{2000000000000}.

$$\frac{500}{\frac{6283}{2000000000000}\times \frac{8\times 1.58\times 154}{0.2\times 5\sqrt{12}}}$$

I-multiply ang 8 at 1.58 para makuha ang 12.64.

$$\frac{500}{\frac{6283}{2000000000000}\times \frac{12.64\times 154}{0.2\times 5\sqrt{12}}}$$

I-multiply ang 12.64 at 154 para makuha ang 1946.56.

$$\frac{500}{\frac{6283}{2000000000000}\times \frac{1946.56}{0.2\times 5\sqrt{12}}}$$

I-multiply ang 0.2 at 5 para makuha ang 1.

$$\frac{500}{\frac{6283}{2000000000000}\times \frac{1946.56}{\sqrt{12}}}$$

I-factor out ang 12=2^{2}\times 3. I-rewrite ang square root ng product na \sqrt{2^{2}\times 3} bilang product ng mga square root na \sqrt{2^{2}}\sqrt{3}. Kunin ang square root ng 2^{2}.

$$\frac{500}{\frac{6283}{2000000000000}\times \frac{1946.56}{2\sqrt{3}}}$$

I-rationalize ang denominator ng \frac{1946.56}{2\sqrt{3}} sa pamamagitan ng pag-multiply ng numerator at denominator sa \sqrt{3}.

$$\frac{500}{\frac{6283}{2000000000000}\times \frac{1946.56\sqrt{3}}{2\left(\sqrt{3}\right)^{2}}}$$

Ang square ng \sqrt{3} ay 3.

$$\frac{500}{\frac{6283}{2000000000000}\times \frac{1946.56\sqrt{3}}{2\times 3}}$$

I-multiply ang 2 at 3 para makuha ang 6.

$$\frac{500}{\frac{6283}{2000000000000}\times \frac{1946.56\sqrt{3}}{6}}$$

I-divide ang 1946.56\sqrt{3} gamit ang 6 para makuha ang \frac{24332}{75}\sqrt{3}.

$$\frac{500}{\frac{6283}{2000000000000}\times \frac{24332}{75}\sqrt{3}}$$

I-multiply ang \frac{6283}{2000000000000} at \frac{24332}{75} para makuha ang \frac{38219489}{37500000000000}.

$$\frac{500}{\frac{38219489}{37500000000000}\sqrt{3}}$$

I-rationalize ang denominator ng \frac{500}{\frac{38219489}{37500000000000}\sqrt{3}} sa pamamagitan ng pag-multiply ng numerator at denominator sa \sqrt{3}.

$$\frac{500\sqrt{3}}{\frac{38219489}{37500000000000}\left(\sqrt{3}\right)^{2}}$$

Ang square ng \sqrt{3} ay 3.

$$\frac{500\sqrt{3}}{\frac{38219489}{37500000000000}\times 3}$$

I-multiply ang \frac{38219489}{37500000000000} at 3 para makuha ang \frac{38219489}{12500000000000}.

$$\frac{500\sqrt{3}}{\frac{38219489}{12500000000000}}$$

I-divide ang 500\sqrt{3} gamit ang \frac{38219489}{12500000000000} sa pamamagitan ng pagmu-multiply sa 500\sqrt{3} gamit ang reciprocal ng \frac{38219489}{12500000000000}.

$$\frac{500\sqrt{3}\times 12500000000000}{38219489}$$

I-multiply ang 500 at 12500000000000 para makuha ang 6250000000000000.

$$\frac{6250000000000000\sqrt{3}}{38219489}$$