Solve 3:2*sqrt{9}+8*4*1432

$$3 : 2 \cdot \sqrt { 9 } + 8 \cdot 4 \cdot 1432$$

Evaluate

$$\frac{91657}{2}=45828.5$$

Solution Steps

Calculate the square root of 9 and get 3.

$$\frac{3}{2}\times 3+8\times 4\times 1432$$

Express \frac{3}{2}\times 3 as a single fraction.

$$\frac{3\times 3}{2}+8\times 4\times 1432$$

Multiply 3 and 3 to get 9.

$$\frac{9}{2}+8\times 4\times 1432$$

Multiply 8 and 4 to get 32.

$$\frac{9}{2}+32\times 1432$$

Multiply 32 and 1432 to get 45824.

$$\frac{9}{2}+45824$$

Convert 45824 to fraction \frac{91648}{2}.

$$\frac{9}{2}+\frac{91648}{2}$$

Since \frac{9}{2} and \frac{91648}{2} have the same denominator, add them by adding their numerators.

$$\frac{9+91648}{2}$$

Add 9 and 91648 to get 91657.

$$\frac{91657}{2}$$

Factor

$$\frac{151 \cdot 607}{2} = 45828\frac{1}{2} = 45828.5$$