Evaluate square root of (4-0)^2+(0-0)^2

$\sqrt{{(4 - 0)}^{2} + {(0 - 0)}^{2}}$

Step 1

Subtract $0$ from $4$ .

$\sqrt{4^{2} + {(0 - 0)}^{2}}$

Step 2

Raise $4$ to the power of $2$ .

$\sqrt{16 + {(0 - 0)}^{2}}$

Step 3

Subtract $0$ from $0$ .

$\sqrt{16 + 0^{2}}$

Step 4

Raising $0$ to any positive power yields $0$ .

$\sqrt{16 + 0}$

Step 5

Add $16$ and $0$ .

$\sqrt{16}$

Step 6

Rewrite $16$ as $4^{2}$ .

$\sqrt{4^{2}}$

Step 7

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

$4$