Algebra Examples

$3 \sqrt[4]{16 y} + 5 \sqrt[4]{y} - 2 \sqrt[4]{81 y}$

Step 1

Simplify each term.

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Step 1.1

Rewrite $16$ as $2^{4}$ .

$3 \sqrt[4]{2^{4} y} + 5 \sqrt[4]{y} - 2 \sqrt[4]{81 y}$

Step 1.2

Pull terms out from under the radical.

$3 (2 \sqrt[4]{y}) + 5 \sqrt[4]{y} - 2 \sqrt[4]{81 y}$

Step 1.3

Multiply $2$ by $3$ .

$6 \sqrt[4]{y} + 5 \sqrt[4]{y} - 2 \sqrt[4]{81 y}$

Step 1.4

Rewrite $81$ as $3^{4}$ .

$6 \sqrt[4]{y} + 5 \sqrt[4]{y} - 2 \sqrt[4]{3^{4} y}$

Step 1.5

Pull terms out from under the radical.

$6 \sqrt[4]{y} + 5 \sqrt[4]{y} - 2 (3 \sqrt[4]{y})$

Step 1.6

Multiply $3$ by $- 2$ .

$6 \sqrt[4]{y} + 5 \sqrt[4]{y} - 6 \sqrt[4]{y}$

Step 2

Combine the opposite terms in $6 \sqrt[4]{y} + 5 \sqrt[4]{y} - 6 \sqrt[4]{y}$ .

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Step 2.1

Subtract $6 \sqrt[4]{y}$ from $6 \sqrt[4]{y}$ .

$0 + 5 \sqrt[4]{y}$

Step 2.2

Add $0$ and $5 \sqrt[4]{y}$ .

$5 \sqrt[4]{y}$