Riješi sqrt{1}*222*222*222*222*222div222div222div22div22*2/frac{2{2}*2div525111}*2div2525222

$$\sqrt{ 1 } \times 222 \times 222 \times 222 \times 222 \times 222 \div 222 \div 222 \div 22 \div 22 \times \frac{ 2 }{ \frac{ 2 }{ 2 } \times 2 \div 525111 } \times 2 \div 2525222$$

Izračunaj

$$\frac{1436316164082}{152775931}\approx 9401,455809698$$

Koraci rješenja

Podijelite 2 s 2 da biste dobili 1.

$$\frac{2\times \frac{\frac{\frac{\frac{222\times 222\times 222\times 222\times 222\sqrt{1}}{222}}{222}}{22}}{22}\times \frac{2}{\frac{1\times 2}{525111}}}{2525222}$$

Izrazite \frac{\frac{\frac{\frac{222\times 222\times 222\times 222\times 222\sqrt{1}}{222}}{222}}{22}}{22} kao jedan razlomak.

$$\frac{2\times \frac{\frac{\frac{222\times 222\times 222\times 222\times 222\sqrt{1}}{222}}{222}}{22\times 22}\times \frac{2}{\frac{1\times 2}{525111}}}{2525222}$$

Izrazite \frac{\frac{222\times 222\times 222\times 222\times 222\sqrt{1}}{222}}{222} kao jedan razlomak.

$$\frac{2\times \frac{\frac{222\times 222\times 222\times 222\times 222\sqrt{1}}{222\times 222}}{22\times 22}\times \frac{2}{\frac{1\times 2}{525111}}}{2525222}$$

Skratite 222\times 222 u brojniku i nazivniku.

$$\frac{2\times \frac{222\times 222\times 222\sqrt{1}}{22\times 22}\times \frac{2}{\frac{1\times 2}{525111}}}{2525222}$$

Pomnožite 222 i 222 da biste dobili 49284.

$$\frac{2\times \frac{49284\times 222\sqrt{1}}{22\times 22}\times \frac{2}{\frac{1\times 2}{525111}}}{2525222}$$

Pomnožite 49284 i 222 da biste dobili 10941048.

$$\frac{2\times \frac{10941048\sqrt{1}}{22\times 22}\times \frac{2}{\frac{1\times 2}{525111}}}{2525222}$$

Pomnožite 22 i 22 da biste dobili 484.

$$\frac{2\times \frac{10941048\sqrt{1}}{484}\times \frac{2}{\frac{1\times 2}{525111}}}{2525222}$$

Izračunajte 2. korijen od 1 da biste dobili 1.

$$\frac{2\times \frac{10941048\times 1}{484}\times \frac{2}{\frac{1\times 2}{525111}}}{2525222}$$

Pomnožite 10941048 i 1 da biste dobili 10941048.

$$\frac{2\times \frac{10941048}{484}\times \frac{2}{\frac{1\times 2}{525111}}}{2525222}$$

Skratite razlomak \frac{10941048}{484} na najmanje vrijednosti tako da izlučite i poništite 4.

$$\frac{2\times \frac{2735262}{121}\times \frac{2}{\frac{1\times 2}{525111}}}{2525222}$$

Izrazite 2\times \frac{2735262}{121} kao jedan razlomak.

$$\frac{\frac{2\times 2735262}{121}\times \frac{2}{\frac{1\times 2}{525111}}}{2525222}$$

Pomnožite 2 i 2735262 da biste dobili 5470524.

$$\frac{\frac{5470524}{121}\times \frac{2}{\frac{1\times 2}{525111}}}{2525222}$$

Podijelite 2 s \frac{1\times 2}{525111} tako da pomnožite 2 s brojem recipročnim broju \frac{1\times 2}{525111}.

$$\frac{\frac{5470524}{121}\times \frac{2\times 525111}{1\times 2}}{2525222}$$

Skratite 2 u brojniku i nazivniku.

$$\frac{\frac{5470524}{121}\times 525111}{2525222}$$

Izrazite \frac{5470524}{121}\times 525111 kao jedan razlomak.

$$\frac{\frac{5470524\times 525111}{121}}{2525222}$$

Pomnožite 5470524 i 525111 da biste dobili 2872632328164.

$$\frac{\frac{2872632328164}{121}}{2525222}$$

Izrazite \frac{\frac{2872632328164}{121}}{2525222} kao jedan razlomak.

$$\frac{2872632328164}{121\times 2525222}$$

Pomnožite 121 i 2525222 da biste dobili 305551862.

$$\frac{2872632328164}{305551862}$$

Skratite razlomak \frac{2872632328164}{305551862} na najmanje vrijednosti tako da izlučite i poništite 2.

$$\frac{1436316164082}{152775931}$$

Faktor

$$\frac{2 \cdot 3 ^ {4} \cdot 37 ^ {3} \cdot 113 \cdot 1549}{7 \cdot 11 ^ {2} \cdot 317 \cdot 569} = 9401\frac{69636751}{152775931} = 9401,455809698191$$