Solve sqrt{(8-11)^2+(3-7)^2}

$$\sqrt { ( 8 - 11 ) ^ { 2 } + ( 3 - 7 ) ^ { 2 } }$$

Evaluate

$$5$$

Solution Steps

Subtract 11 from 8 to get -3.

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

Calculate -3 to the power of 2 and get 9.

$$\sqrt{9+\left(3-7\right)^{2}}$$

Subtract 7 from 3 to get -4.

$$\sqrt{9+\left(-4\right)^{2}}$$

Calculate -4 to the power of 2 and get 16.

$$\sqrt{9+16}$$

Add 9 and 16 to get 25.

$$\sqrt{25}$$

Calculate the square root of 25 and get 5.

$$5$$

Factor

$$5$$