Evaluate square root of 2^2+1^2+2^2

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

Step 1

Raise $2$ to the power of $2$ .

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

Step 2

One to any power is one.

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

Step 3

Raise $2$ to the power of $2$ .

$\sqrt{4 + 1 + 4}$

Step 4

Add $4$ and $1$ .

$\sqrt{5 + 4}$

Step 5

Add $5$ and $4$ .

$\sqrt{9}$

Step 6

Rewrite $9$ as $3^{2}$ .

$\sqrt{3^{2}}$

Step 7

Pull terms out from under the radical, assuming positive real numbers.

$3$