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

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

Evaluate

$$1$$

Solution Steps

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

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

Calculate the square root of 4 and get 2.

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

Calculate -5 to the power of 2 and get 25.

$$2-\sqrt{25}-\left(-2^{2}\right)$$

Calculate the square root of 25 and get 5.

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

Subtract 5 from 2 to get -3.

$$-3-\left(-2^{2}\right)$$

Calculate 2 to the power of 2 and get 4.

$$-3-\left(-4\right)$$

The opposite of -4 is 4.

$$-3+4$$

Add -3 and 4 to get 1.

$$1$$

Factor

$$1$$