Solve 1/2sqrt{2^2+(-4)^2-4*(-4)}

$$\frac { 1 } { 2 } \sqrt { 2 ^ { 2 } + ( - 4 ) ^ { 2 } - 4 \times ( - 4 ) }$$

Evaluate

$$3$$

Solution Steps

Calculate 2 to the power of 2 and get 4.

$$\frac{1}{2}\sqrt{4+\left(-4\right)^{2}-4\left(-4\right)}$$

Calculate -4 to the power of 2 and get 16.

$$\frac{1}{2}\sqrt{4+16-4\left(-4\right)}$$

Add 4 and 16 to get 20.

$$\frac{1}{2}\sqrt{20-4\left(-4\right)}$$

Multiply 4 and -4 to get -16.

$$\frac{1}{2}\sqrt{20-\left(-16\right)}$$

The opposite of -16 is 16.

$$\frac{1}{2}\sqrt{20+16}$$

Add 20 and 16 to get 36.

$$\frac{1}{2}\sqrt{36}$$

Calculate the square root of 36 and get 6.

$$\frac{1}{2}\times 6$$

Multiply \frac{1}{2} and 6 to get \frac{6}{2}.

$$\frac{6}{2}$$

Divide 6 by 2 to get 3.

$$3$$

Factor

$$3$$