Solve 41(152*62div3332)sqrt{144}

$$41(152 \times 62 \div 3332) \sqrt{ 144 }$$

Evaluate

$$\frac{1159152}{833}\approx 1391.539015606$$

Solution Steps

Multiply 152 and 62 to get 9424.

$$41\times \frac{9424}{3332}\sqrt{144}$$

Reduce the fraction \frac{9424}{3332} to lowest terms by extracting and canceling out 4.

$$41\times \frac{2356}{833}\sqrt{144}$$

Express 41\times \frac{2356}{833} as a single fraction.

$$\frac{41\times 2356}{833}\sqrt{144}$$

Multiply 41 and 2356 to get 96596.

$$\frac{96596}{833}\sqrt{144}$$

Calculate the square root of 144 and get 12.

$$\frac{96596}{833}\times 12$$

Express \frac{96596}{833}\times 12 as a single fraction.

$$\frac{96596\times 12}{833}$$

Multiply 96596 and 12 to get 1159152.

$$\frac{1159152}{833}$$

Factor

$$\frac{2 ^ {4} \cdot 3 \cdot 19 \cdot 31 \cdot 41}{7 ^ {2} \cdot 17} = 1391\frac{449}{833} = 1391.5390156062424$$