Solve sqrt{2^2+2^2+1^2}

$$\sqrt { 2 ^ { 2 } + 2 ^ { 2 } + 1 ^ { 2 } }$$

Evaluate

$$3$$

Solution Steps

Calculate 2 to the power of 2 and get 4.

$$\sqrt{4+2^{2}+1^{2}}$$

Calculate 2 to the power of 2 and get 4.

$$\sqrt{4+4+1^{2}}$$

Add 4 and 4 to get 8.

$$\sqrt{8+1^{2}}$$

Calculate 1 to the power of 2 and get 1.

$$\sqrt{8+1}$$

Add 8 and 1 to get 9.

$$\sqrt{9}$$

Calculate the square root of 9 and get 3.

$$3$$

Factor

$$3$$