Algebra Examples

$\sqrt{9 m^{2} n^{2}} + 2 \sqrt{m^{2} n^{2}} - 3 m n$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

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

$\sqrt{{(3 m n)}^{2}} + 2 \sqrt{m^{2} n^{2}} - 3 m n$

Step 1.2

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

$3 m n + 2 \sqrt{m^{2} n^{2}} - 3 m n$

Step 1.3

Rewrite $m^{2} n^{2}$ as ${(m n)}^{2}$ .

$3 m n + 2 \sqrt{{(m n)}^{2}} - 3 m n$

Step 1.4

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

$3 m n + 2 m n - 3 m n$

Step 2

Combine the opposite terms in $3 m n + 2 m n - 3 m n$ .

Tap for more steps...

Step 2.1

Subtract $3 m n$ from $3 m n$ .

$2 m n + 0$

Step 2.2

Add $2 m n$ and $0$ .

$2 m n$