Algebra Examples

$\sqrt{11 \cdot 2 - 6} + 5 (4^{2} - 9)$

Step 1

Simplify each term.

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Step 1.1

Multiply $11$ by $2$ .

$\sqrt{22 - 6} + 5 (4^{2} - 9)$

Step 1.2

Subtract $6$ from $22$ .

$\sqrt{16} + 5 (4^{2} - 9)$

Step 1.3

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

$\sqrt{4^{2}} + 5 (4^{2} - 9)$

Step 1.4

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

$4 + 5 (4^{2} - 9)$

Step 1.5

Raise $4$ to the power of $2$ .

$4 + 5 (16 - 9)$

Step 1.6

Subtract $9$ from $16$ .

$4 + 5 \cdot 7$

Step 1.7

Multiply $5$ by $7$ .

$4 + 35$

Step 2

Add $4$ and $35$ .

$39$