Solve 7sqrt{7div4*5}

$$7 \sqrt{ 7 \div 4 \times 5 }$$

Evaluate

$$\frac{7\sqrt{35}}{2}\approx 20.706279241$$

Solution Steps

Express \frac{7}{4}\times 5 as a single fraction.

$$7\sqrt{\frac{7\times 5}{4}}$$

Multiply 7 and 5 to get 35.

$$7\sqrt{\frac{35}{4}}$$

Rewrite the square root of the division \sqrt{\frac{35}{4}} as the division of square roots \frac{\sqrt{35}}{\sqrt{4}}.

$$7\times \frac{\sqrt{35}}{\sqrt{4}}$$

Calculate the square root of 4 and get 2.

$$7\times \frac{\sqrt{35}}{2}$$

Express 7\times \frac{\sqrt{35}}{2} as a single fraction.

$$\frac{7\sqrt{35}}{2}$$