Solve sqrt{(-3-(-10))^2+(-1-(-3))^2}

$$\sqrt { ( - 3 - ( - 10 ) ) ^ { 2 } + ( - 1 - ( - 3 ) ) ^ { 2 } }$$

Evaluate

$$\sqrt{53}\approx 7.280109889$$

Solution Steps

The opposite of -10 is 10.

$$\sqrt{\left(-3+10\right)^{2}+\left(-1-\left(-3\right)\right)^{2}}$$

Add -3 and 10 to get 7.

$$\sqrt{7^{2}+\left(-1-\left(-3\right)\right)^{2}}$$

Calculate 7 to the power of 2 and get 49.

$$\sqrt{49+\left(-1-\left(-3\right)\right)^{2}}$$

The opposite of -3 is 3.

$$\sqrt{49+\left(-1+3\right)^{2}}$$

Add -1 and 3 to get 2.

$$\sqrt{49+2^{2}}$$

Calculate 2 to the power of 2 and get 4.

$$\sqrt{49+4}$$

Add 49 and 4 to get 53.

$$\sqrt{53}$$