Solve frac{(3)+sqrt{(2)-4(-2)(10)}}{2(10)}

$$\frac{ (3)+ \sqrt{ (2)-4(-2)(10) } }{ 2(10) }$$

Evaluate

$$\frac{\sqrt{82}+3}{20}\approx 0.602769257$$

Solution Steps

Multiply 4 and -2 to get -8.

$$\frac{3+\sqrt{2-\left(-8\times 10\right)}}{2\times 10}$$

Multiply -8 and 10 to get -80.

$$\frac{3+\sqrt{2-\left(-80\right)}}{2\times 10}$$

The opposite of -80 is 80.

$$\frac{3+\sqrt{2+80}}{2\times 10}$$

Add 2 and 80 to get 82.

$$\frac{3+\sqrt{82}}{2\times 10}$$

Multiply 2 and 10 to get 20.

$$\frac{3+\sqrt{82}}{20}$$