Solve sqrt{lfloor1-left(left|2right|-1right)^2rfloor}

$$\sqrt{ \lfloor 1- { \left( \left| 2 \right| -1 \right) }^{ 2 } \rfloor }$$

Evaluate

$$0$$

Solution Steps

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of 2 is 2.

$$\sqrt{\lfloor 1-\left(2-1\right)^{2}\rfloor }$$

Subtract 1 from 2 to get 1.

$$\sqrt{\lfloor 1-1^{2}\rfloor }$$

Calculate 1 to the power of 2 and get 1.

$$\sqrt{\lfloor 1-1\rfloor }$$

Subtract 1 from 1 to get 0.

$$\sqrt{\lfloor 0\rfloor }$$

The floor of a real number a is the largest integer number less than or equal to a. The floor of 0 is 0.

$$\sqrt{0}$$

Calculate the square root of 0 and get 0.

$$0$$

Factor

$$0$$