Algebra Examples

$\sqrt{64} + (3^{2} + (9 - 4 (6 - 1)) + 5)$

Step 1

Remove parentheses.

$\sqrt{64} + 3^{2} + 9 - 4 (6 - 1) + 5$

Step 2

Simplify each term.

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Step 2.1

Rewrite $64$ as $8^{2}$ .

$\sqrt{8^{2}} + 3^{2} + 9 - 4 (6 - 1) + 5$

Step 2.2

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

$8 + 3^{2} + 9 - 4 (6 - 1) + 5$

Step 2.3

Raise $3$ to the power of $2$ .

$8 + 9 + 9 - 4 (6 - 1) + 5$

Step 2.4

Subtract $1$ from $6$ .

$8 + 9 + 9 - 4 \cdot 5 + 5$

Step 2.5

Multiply $- 4$ by $5$ .

$8 + 9 + 9 - 20 + 5$

Step 3

Simplify by adding and subtracting.

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Step 3.1

Add $8$ and $9$ .

$17 + 9 - 20 + 5$

Step 3.2

Add $17$ and $9$ .

$26 - 20 + 5$

Step 3.3

Subtract $20$ from $26$ .

$6 + 5$

Step 3.4

Add $6$ and $5$ .

$11$