Solve (-sqrt{5})^2-sqrt{16}+sqrt{(-2)^2}

$$( - \sqrt { 5 } ) ^ { 2 } - \sqrt { 16 } + \sqrt { ( - 2 ) ^ { 2 } }$$

Evaluate

$$3$$

Solution Steps

Calculate -\sqrt{5} to the power of 2 and get \left(\sqrt{5}\right)^{2}.

$$\left(\sqrt{5}\right)^{2}-\sqrt{16}+\sqrt{\left(-2\right)^{2}}$$

Calculate the square root of 16 and get 4.

$$\left(\sqrt{5}\right)^{2}-4+\sqrt{\left(-2\right)^{2}}$$

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

$$\left(\sqrt{5}\right)^{2}-4+\sqrt{4}$$

Calculate the square root of 4 and get 2.

$$\left(\sqrt{5}\right)^{2}-4+2$$

Add -4 and 2 to get -2.

$$\left(\sqrt{5}\right)^{2}-2$$

The square of \sqrt{5} is 5.

$$5-2$$

Subtract 2 from 5 to get 3.

$$3$$

Factor

$$3$$