Solve sqrt{2*5+14div2-(6*5+10)div(30-125div5)}

$$\sqrt{ 2 \times 5+14 \div 2-(6 \times 5+10) \div (30-125 \div 5) }$$

Evaluate

$$3$$

Solution Steps

Multiply 2 and 5 to get 10.

$$\sqrt{10+\frac{14}{2}-\frac{6\times 5+10}{30-\frac{125}{5}}}$$

Divide 14 by 2 to get 7.

$$\sqrt{10+7-\frac{6\times 5+10}{30-\frac{125}{5}}}$$

Add 10 and 7 to get 17.

$$\sqrt{17-\frac{6\times 5+10}{30-\frac{125}{5}}}$$

Multiply 6 and 5 to get 30.

$$\sqrt{17-\frac{30+10}{30-\frac{125}{5}}}$$

Add 30 and 10 to get 40.

$$\sqrt{17-\frac{40}{30-\frac{125}{5}}}$$

Divide 125 by 5 to get 25.

$$\sqrt{17-\frac{40}{30-25}}$$

Subtract 25 from 30 to get 5.

$$\sqrt{17-\frac{40}{5}}$$

Divide 40 by 5 to get 8.

$$\sqrt{17-8}$$

Subtract 8 from 17 to get 9.

$$\sqrt{9}$$

Calculate the square root of 9 and get 3.

$$3$$

Factor

$$3$$