Solve sqrt{(5-17)^2+(2-11)^2}

$$\sqrt { ( 5 - 17 ) ^ { 2 } + ( 2 - 11 ) ^ { 2 } }$$

Evaluate

$$15$$

Solution Steps

Subtract 17 from 5 to get -12.

$$\sqrt{\left(-12\right)^{2}+\left(2-11\right)^{2}}$$

Calculate -12 to the power of 2 and get 144.

$$\sqrt{144+\left(2-11\right)^{2}}$$

Subtract 11 from 2 to get -9.

$$\sqrt{144+\left(-9\right)^{2}}$$

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

$$\sqrt{144+81}$$

Add 144 and 81 to get 225.

$$\sqrt{225}$$

Calculate the square root of 225 and get 15.

$$15$$

Factor

$$3\times 5$$