Solve sqrt{1}*222*222*222*222*222div222div222div22div22*2/frac{2{2}}

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

Evaluate

$$\frac{5470524}{121}\approx 45210.94214876$$

Solution Steps

Divide 2 by 2 to get 1.

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

Express \frac{\frac{\frac{\frac{222\times 222\times 222\times 222\times 222\sqrt{1}}{222}}{222}}{22}}{22} as a single fraction.

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

Express \frac{\frac{222\times 222\times 222\times 222\times 222\sqrt{1}}{222}}{222} as a single fraction.

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

Cancel out 222\times 222 in both numerator and denominator.

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

Multiply 222 and 222 to get 49284.

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

Multiply 49284 and 222 to get 10941048.

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

Multiply 22 and 22 to get 484.

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

Calculate the square root of 1 and get 1.

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

Multiply 10941048 and 1 to get 10941048.

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

Reduce the fraction \frac{10941048}{484} to lowest terms by extracting and canceling out 4.

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

Anything divided by one gives itself.

$$\frac{2735262}{121}\times 2$$

Express \frac{2735262}{121}\times 2 as a single fraction.

$$\frac{2735262\times 2}{121}$$

Multiply 2735262 and 2 to get 5470524.

$$\frac{5470524}{121}$$

Factor

$$\frac{2 ^ {2} \cdot 3 ^ {3} \cdot 37 ^ {3}}{11 ^ {2}} = 45210\frac{114}{121} = 45210.94214876033$$