Solve sqrt{left(3-(-1)right)^2+left(2-(-1)right)^2}

$$\sqrt{ { \left(3-(-1) \right) }^{ 2 } + { \left(2-(-1) \right) }^{ 2 } }$$

Evaluate

$$5$$

Solution Steps

The opposite of -1 is 1.

$$\sqrt{\left(3+1\right)^{2}+\left(2-\left(-1\right)\right)^{2}}$$

Add 3 and 1 to get 4.

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

Calculate 4 to the power of 2 and get 16.

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

The opposite of -1 is 1.

$$\sqrt{16+\left(2+1\right)^{2}}$$

Add 2 and 1 to get 3.

$$\sqrt{16+3^{2}}$$

Calculate 3 to the power of 2 and get 9.

$$\sqrt{16+9}$$

Add 16 and 9 to get 25.

$$\sqrt{25}$$

Calculate the square root of 25 and get 5.

$$5$$

Factor

$$5$$