Solve 154/144sqrt{144*4}

$$\frac{ 154 }{ 144 \sqrt{ 144 \times 4 } }$$

Evaluate

$$\frac{77}{1728}\approx 0.044560185$$

Solution Steps

Multiply 144 and 4 to get 576.

$$\frac{154}{144\sqrt{576}}$$

Calculate the square root of 576 and get 24.

$$\frac{154}{144\times 24}$$

Multiply 144 and 24 to get 3456.

$$\frac{154}{3456}$$

Reduce the fraction \frac{154}{3456} to lowest terms by extracting and canceling out 2.

$$\frac{77}{1728}$$

Factor

$$\frac{7 \cdot 11}{2 ^ {6} \cdot 3 ^ {3}} = 0.04456018518518518$$