Solve sqrt{2/3*15div2/5}

$$\sqrt{ \frac{ 2 }{ 3 } \times 15 \div \frac{ 2 }{ 5 } }$$

Evaluate

$$5$$

Solution Steps

Express \frac{2}{3}\times 15 as a single fraction.

$$\sqrt{\frac{\frac{2\times 15}{3}}{\frac{2}{5}}}$$

Multiply 2 and 15 to get 30.

$$\sqrt{\frac{\frac{30}{3}}{\frac{2}{5}}}$$

Divide 30 by 3 to get 10.

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

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

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

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

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

Multiply 10 and 5 to get 50.

$$\sqrt{\frac{50}{2}}$$

Divide 50 by 2 to get 25.

$$\sqrt{25}$$

Calculate the square root of 25 and get 5.

$$5$$

Factor

$$5$$