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

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

Evaluate

$$5$$

Solution Steps

Multiply 2 and 5 to get 10.

$$\sqrt{\left(5-10\right)^{2}+\left(3-3\right)^{2}}$$

Subtract 10 from 5 to get -5.

$$\sqrt{\left(-5\right)^{2}+\left(3-3\right)^{2}}$$

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

$$\sqrt{25+\left(3-3\right)^{2}}$$

Subtract 3 from 3 to get 0.

$$\sqrt{25+0^{2}}$$

Calculate 0 to the power of 2 and get 0.

$$\sqrt{25+0}$$

Add 25 and 0 to get 25.

$$\sqrt{25}$$

Calculate the square root of 25 and get 5.

$$5$$

Factor

$$5$$