Solve sqrt{left(2-5right)^2+left(2-7right)^2}

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

Evaluate

$$\sqrt{34}\approx 5.830951895$$

Solution Steps

Subtract 5 from 2 to get -3.

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

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

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

Subtract 7 from 2 to get -5.

$$\sqrt{9+\left(-5\right)^{2}}$$

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

$$\sqrt{9+25}$$

Add 9 and 25 to get 34.

$$\sqrt{34}$$