Algebra Examples

$- \sqrt{\frac{64 x y}{16 x y}}$

Step 1

Reduce the expression $\frac{64 x y}{16 x y}$ by cancelling the common factors.

Tap for more steps...

Step 1.1

Factor $16$ out of $64 x y$ .

$- \sqrt{\frac{16 (4 x y)}{16 x y}}$

Step 1.2

Factor $16$ out of $16 x y$ .

$- \sqrt{\frac{16 (4 x y)}{16 (x y)}}$

Step 1.3

Cancel the common factor.

$- \sqrt{\frac{16 (4 x y)}{16 (x y)}}$

Step 1.4

Rewrite the expression.

$- \sqrt{\frac{4 x y}{x y}}$

Step 2

Cancel the common factor of $x$ .

Tap for more steps...

Step 2.1

Cancel the common factor.

$- \sqrt{\frac{4 x y}{x y}}$

Step 2.2

Rewrite the expression.

$- \sqrt{\frac{4 y}{y}}$

Step 3

Cancel the common factor of $y$ .

Tap for more steps...

Step 3.1

Cancel the common factor.

$- \sqrt{\frac{4 y}{y}}$

Step 3.2

Divide $4$ by $1$ .

$- \sqrt{4}$

Step 4

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

$- \sqrt{2^{2}}$

Step 5

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

$- 1 \cdot 2$

Step 6

Multiply $- 1$ by $2$ .

$- 2$