Simplify square root of 25c^2-16c^2

$\sqrt{25 c^{2} - 16 c^{2}}$

Step 1

Subtract $16 c^{2}$ from $25 c^{2}$ .

$\sqrt{9 c^{2}}$

Step 2

Rewrite $9 c^{2}$ as ${(3 c)}^{2}$ .

$\sqrt{{(3 c)}^{2}}$

Step 3

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

$3 c$