Solve sqrt{52^2-48^2}*96div52

$$\sqrt{ { 52 }^{ 2 } - { 48 }^{ 2 } } \times 96 \div 52$$

Evaluate

$$\frac{480}{13}\approx 36.923076923$$

Solution Steps

Calculate 52 to the power of 2 and get 2704.

$$\frac{96\sqrt{2704-48^{2}}}{52}$$

Calculate 48 to the power of 2 and get 2304.

$$\frac{96\sqrt{2704-2304}}{52}$$

Subtract 2304 from 2704 to get 400.

$$\frac{96\sqrt{400}}{52}$$

Calculate the square root of 400 and get 20.

$$\frac{96\times 20}{52}$$

Multiply 96 and 20 to get 1920.

$$\frac{1920}{52}$$

Reduce the fraction \frac{1920}{52} to lowest terms by extracting and canceling out 4.

$$\frac{480}{13}$$

Factor

$$\frac{2 ^ {5} \cdot 3 \cdot 5}{13} = 36\frac{12}{13} = 36.92307692307692$$