Solve sqrt{4}1/5div1/10

$$\sqrt { 4 } \frac { 1 } { 5 } \div \frac { 1 } { 10 }$$

Evaluate

$$4$$

Solution Steps

Calculate the square root of 4 and get 2.

$$\frac{2\times \frac{1}{5}}{\frac{1}{10}}$$

Multiply 2 and \frac{1}{5} to get \frac{2}{5}.

$$\frac{\frac{2}{5}}{\frac{1}{10}}$$

Divide \frac{2}{5} by \frac{1}{10} by multiplying \frac{2}{5} by the reciprocal of \frac{1}{10}.

$$\frac{2}{5}\times 10$$

Express \frac{2}{5}\times 10 as a single fraction.

$$\frac{2\times 10}{5}$$

Multiply 2 and 10 to get 20.

$$\frac{20}{5}$$

Divide 20 by 5 to get 4.

$$4$$

Factor

$$2^{2}$$