Solve sqrt{56^2}div64*35

$$\sqrt { 56 ^ { 2 } } \div 64 \times 35$$

Evaluate

$$\frac{245}{8}=30.625$$

Solution Steps

Calculate 56 to the power of 2 and get 3136.

$$35\times \frac{\sqrt{3136}}{64}$$

Calculate the square root of 3136 and get 56.

$$35\times \frac{56}{64}$$

Reduce the fraction \frac{56}{64} to lowest terms by extracting and canceling out 8.

$$35\times \frac{7}{8}$$

Express 35\times \frac{7}{8} as a single fraction.

$$\frac{35\times 7}{8}$$

Multiply 35 and 7 to get 245.

$$\frac{245}{8}$$

Factor

$$\frac{5 \cdot 7 ^ {2}}{2 ^ {3}} = 30\frac{5}{8} = 30.625$$