Solve sqrt{3136}div(2/5)=?*5

$$\sqrt { 3136 } \div ( \frac { 2 } { 5 } ) = ? \times 5$$

Evaluate

$$140$$

Solution Steps

Calculate the square root of 3136 and get 56.

$$\frac{56}{\frac{2}{5}}$$

Divide 56 by \frac{2}{5} by multiplying 56 by the reciprocal of \frac{2}{5}.

$$56\times \frac{5}{2}$$

Express 56\times \frac{5}{2} as a single fraction.

$$\frac{56\times 5}{2}$$

Multiply 56 and 5 to get 280.

$$\frac{280}{2}$$

Divide 280 by 2 to get 140.

$$140$$

Factor

$$2^{2}\times 5\times 7$$