Solve sqrt{(5-7)^2+(3-8)^2}

$$\sqrt { ( 5 - 7 ) ^ { 2 } + ( 3 - 8 ) ^ { 2 } }$$

Evaluate

$$\sqrt{29}\approx 5.385164807$$

Solution Steps

Subtract 7 from 5 to get -2.

$$\sqrt{\left(-2\right)^{2}+\left(3-8\right)^{2}}$$

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

$$\sqrt{4+\left(3-8\right)^{2}}$$

Subtract 8 from 3 to get -5.

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

Calculate -5 to the power of 2 and get 25.

$$\sqrt{4+25}$$

Add 4 and 25 to get 29.

$$\sqrt{29}$$