Solve sqrt{4*2+4-11+5*3}+sqrt{2+3*5+8}-sqrt{9}

$$\sqrt { 4 \cdot 2 + 4 - 11 + 5 \cdot 3 } + \sqrt { 2 + 3 \cdot 5 + 8 } - \sqrt { 9 }$$

Evaluate

$$6$$

Solution Steps

Multiply 4 and 2 to get 8. Multiply 5 and 3 to get 15.

$$\sqrt{8+4-11+15}+\sqrt{2+3\times 5+8}-\sqrt{9}$$

Add 8 and 4 to get 12.

$$\sqrt{12-11+15}+\sqrt{2+3\times 5+8}-\sqrt{9}$$

Subtract 11 from 12 to get 1.

$$\sqrt{1+15}+\sqrt{2+3\times 5+8}-\sqrt{9}$$

Add 1 and 15 to get 16.

$$\sqrt{16}+\sqrt{2+3\times 5+8}-\sqrt{9}$$

Calculate the square root of 16 and get 4.

$$4+\sqrt{2+3\times 5+8}-\sqrt{9}$$

Multiply 3 and 5 to get 15.

$$4+\sqrt{2+15+8}-\sqrt{9}$$

Add 2 and 15 to get 17.

$$4+\sqrt{17+8}-\sqrt{9}$$

Add 17 and 8 to get 25.

$$4+\sqrt{25}-\sqrt{9}$$

Calculate the square root of 25 and get 5.

$$4+5-\sqrt{9}$$

Add 4 and 5 to get 9.

$$9-\sqrt{9}$$

Calculate the square root of 9 and get 3.

$$9-3$$

Subtract 3 from 9 to get 6.

$$6$$

Factor

$$2\times 3$$