Solve sqrt{(-3-4)^2+(-4-5)^2}

$$\sqrt { ( - 3 - 4 ) ^ { 2 } + ( - 4 - 5 ) ^ { 2 } }$$

Evaluate

$$\sqrt{130}\approx 11.401754251$$

Solution Steps

Subtract 4 from -3 to get -7.

$$\sqrt{\left(-7\right)^{2}+\left(-4-5\right)^{2}}$$

Calculate -7 to the power of 2 and get 49.

$$\sqrt{49+\left(-4-5\right)^{2}}$$

Subtract 5 from -4 to get -9.

$$\sqrt{49+\left(-9\right)^{2}}$$

Calculate -9 to the power of 2 and get 81.

$$\sqrt{49+81}$$

Add 49 and 81 to get 130.

$$\sqrt{130}$$