Solve sqrt{(-14-88)^2+(-56-(-93))^2}

$$\sqrt { ( - 14 - 88 ) ^ { 2 } + ( - 56 - ( - 93 ) ) ^ { 2 } }$$

Evaluate

$$\sqrt{11773}\approx 108.503456166$$

Solution Steps

Subtract 88 from -14 to get -102.

$$\sqrt{\left(-102\right)^{2}+\left(-56-\left(-93\right)\right)^{2}}$$

Calculate -102 to the power of 2 and get 10404.

$$\sqrt{10404+\left(-56-\left(-93\right)\right)^{2}}$$

The opposite of -93 is 93.

$$\sqrt{10404+\left(-56+93\right)^{2}}$$

Add -56 and 93 to get 37.

$$\sqrt{10404+37^{2}}$$

Calculate 37 to the power of 2 and get 1369.

$$\sqrt{10404+1369}$$

Add 10404 and 1369 to get 11773.

$$\sqrt{11773}$$