Solve 750*96+100div45sqrt{9}

$$750 \times 96 + 100 \div 45 \sqrt { 9 }$$

Evaluate

$$\frac{216020}{3}\approx 72006.666666667$$

Solution Steps

Multiply 750 and 96 to get 72000.

$$72000+\frac{100}{45}\sqrt{9}$$

Reduce the fraction \frac{100}{45} to lowest terms by extracting and canceling out 5.

$$72000+\frac{20}{9}\sqrt{9}$$

Calculate the square root of 9 and get 3.

$$72000+\frac{20}{9}\times 3$$

Express \frac{20}{9}\times 3 as a single fraction.

$$72000+\frac{20\times 3}{9}$$

Multiply 20 and 3 to get 60.

$$72000+\frac{60}{9}$$

Reduce the fraction \frac{60}{9} to lowest terms by extracting and canceling out 3.

$$72000+\frac{20}{3}$$

Convert 72000 to fraction \frac{216000}{3}.

$$\frac{216000}{3}+\frac{20}{3}$$

Since \frac{216000}{3} and \frac{20}{3} have the same denominator, add them by adding their numerators.

$$\frac{216000+20}{3}$$

Add 216000 and 20 to get 216020.

$$\frac{216020}{3}$$

Factor

$$\frac{2 ^ {2} \cdot 5 \cdot 7 \cdot 1543}{3} = 72006\frac{2}{3} = 72006.66666666667$$