Solve 35+36322+22*55*2div22div2div2.sqrt{22/(3{frac{6225665666/65^642)5/}}}

$$35+36322+22 \times 55 \times 2 \div 22 \div 2 \div 2. \sqrt{ \frac{ 22 }{ ( \frac{ 3 }{ \frac{ \frac{ 6225665666 }{ { 65 }^{ 642)5 } } }{ } } } }$$

Evaluate

$$\frac{72769}{2}=36384.5$$

Solution Steps

Add 35 and 36322 to get 36357.

$$36357+\frac{\frac{\frac{22\times 55\times 2}{22}}{2}}{2}$$

Express \frac{\frac{\frac{22\times 55\times 2}{22}}{2}}{2} as a single fraction.

$$36357+\frac{\frac{22\times 55\times 2}{22}}{2\times 2}$$

Cancel out 22 and 22.

$$36357+\frac{55\times 2}{2\times 2}$$

Multiply 55 and 2 to get 110.

$$36357+\frac{110}{2\times 2}$$

Multiply 2 and 2 to get 4.

$$36357+\frac{110}{4}$$

Reduce the fraction \frac{110}{4} to lowest terms by extracting and canceling out 2.

$$36357+\frac{55}{2}$$

Convert 36357 to fraction \frac{72714}{2}.

$$\frac{72714}{2}+\frac{55}{2}$$

Since \frac{72714}{2} and \frac{55}{2} have the same denominator, add them by adding their numerators.

$$\frac{72714+55}{2}$$

Add 72714 and 55 to get 72769.

$$\frac{72769}{2}$$

Factor

$$\frac{53 \cdot 1373}{2} = 36384\frac{1}{2} = 36384.5$$