Algebra Examples

$5 \sqrt[3]{8} - - 4 \sqrt{16} + 9$

Step 1

Replace all occurrences of $-$ $-$ with a single $+$ . Two consecutive minus signs have the same mathematical meaning as a single plus sign because $- 1 \cdot - 1 = 1$

$5 \sqrt[3]{8} + 4 \sqrt{16} + 9$

Step 2

Simplify each term.

Tap for more steps...

Step 2.1

Rewrite $8$ as $2^{3}$ .

$5 \sqrt[3]{2^{3}} + 4 \sqrt{16} + 9$

Step 2.2

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

$5 \cdot 2 + 4 \sqrt{16} + 9$

Step 2.3

Multiply $5$ by $2$ .

$10 + 4 \sqrt{16} + 9$

Step 2.4

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

$10 + 4 \sqrt{4^{2}} + 9$

Step 2.5

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

$10 + 4 \cdot 4 + 9$

Step 2.6

Multiply $4$ by $4$ .

$10 + 16 + 9$

Step 3

Simplify by adding numbers.

Tap for more steps...

Step 3.1

Add $10$ and $16$ .

$26 + 9$

Step 3.2

Add $26$ and $9$ .

$35$