Basic Math Examples

$\sqrt{7 y^{2}} \cdot \sqrt{16 y^{2}}$

Step 1

Reorder $7$ and $y^{2}$ .

$\sqrt{y^{2} \cdot 7} \cdot \sqrt{16 y^{2}}$

Step 2

Pull terms out from under the radical.

$y \sqrt{7} \cdot \sqrt{16 y^{2}}$

Step 3

Rewrite $16 y^{2}$ as ${(4 y)}^{2}$ .

$y \sqrt{7} \cdot \sqrt{{(4 y)}^{2}}$

Step 4

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

$y \sqrt{7} \cdot (4 y)$

Step 5

Multiply $y$ by $y$ by adding the exponents.

Tap for more steps...

Step 5.1

Move $y$ .

$y \cdot y \sqrt{7} \cdot 4$

Step 5.2

Multiply $y$ by $y$ .

$y^{2} \sqrt{7} \cdot 4$

Step 6

Move $4$ to the left of $y^{2} \sqrt{7}$ .

$4 y^{2} \sqrt{7}$