Solve frac{sqrt{4^2-4*2-5}}{2*2}

$$\frac{ \sqrt{ { 4 }^{ 2 } -4 \cdot 2-5 } }{ 2 \cdot 2 }$$

Evaluate

$$\frac{\sqrt{3}}{4}\approx 0.433012702$$

Solution Steps

Calculate 4 to the power of 2 and get 16.

$$\frac{\sqrt{16-4\times 2-5}}{2\times 2}$$

Multiply 4 and 2 to get 8.

$$\frac{\sqrt{16-8-5}}{2\times 2}$$

Subtract 8 from 16 to get 8.

$$\frac{\sqrt{8-5}}{2\times 2}$$

Subtract 5 from 8 to get 3.

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

Multiply 2 and 2 to get 4.

$$\frac{\sqrt{3}}{4}$$