Basic Math Examples

$\sqrt{2 w^{6}} \sqrt{2 w}$

Step 1

Rewrite $2 w^{6}$ as ${(w^{3})}^{2} \cdot 2$ .

Tap for more steps...

Step 1.1

Rewrite $w^{6}$ as ${(w^{3})}^{2}$ .

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

Step 1.2

Reorder $2$ and ${(w^{3})}^{2}$ .

$\sqrt{{(w^{3})}^{2} \cdot 2} \sqrt{2 w}$

Step 2

Pull terms out from under the radical.

$w^{3} \sqrt{2} \sqrt{2 w}$

Step 3

Multiply $w^{3} \sqrt{2} \sqrt{2 w}$ .

Tap for more steps...

Step 3.1

Combine using the product rule for radicals.

$w^{3} \sqrt{2 w \cdot 2}$

Step 3.2

Multiply $2$ by $2$ .

$w^{3} \sqrt{4 w}$

Step 4

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

$w^{3} \sqrt{2^{2} w}$

Step 5

Pull terms out from under the radical.

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

Step 6

Rewrite using the commutative property of multiplication.

$2 w^{3} \sqrt{w}$