Algebra Examples

$3 \sqrt[4]{8 y^{2}} \cdot 2 \sqrt[4]{2 y^{2}}$

Step 1

Multiply $3 \sqrt[4]{8 y^{2}} (2 \sqrt[4]{2 y^{2}})$ .

Tap for more steps...

Step 1.1

Multiply $2$ by $3$ .

$6 \sqrt[4]{8 y^{2}} \sqrt[4]{2 y^{2}}$

Step 1.2

Combine using the product rule for radicals.

$6 \sqrt[4]{2 y^{2} (8 y^{2})}$

Step 1.3

Multiply $8$ by $2$ .

$6 \sqrt[4]{16 y^{2} y^{2}}$

Step 1.4

Multiply $y^{2}$ by $y^{2}$ by adding the exponents.

Tap for more steps...

Step 1.4.1

Move $y^{2}$ .

$6 \sqrt[4]{16 (y^{2} y^{2})}$

Step 1.4.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$6 \sqrt[4]{16 y^{2 + 2}}$

Step 1.4.3

Add $2$ and $2$ .

$6 \sqrt[4]{16 y^{4}}$

Step 2

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

$6 \sqrt[4]{{(2 y)}^{4}}$

Step 3

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

$6 (2 y)$

Step 4

Multiply $2$ by $6$ .

$12 y$