Algebra Examples

$\sqrt{3 (6) + 2^{2} + (8 - 5)} + 6 \cdot 3^{2}$

Step 1

Remove parentheses.

$\sqrt{3 (6) + 2^{2} + 8 - 5} + 6 \cdot 3^{2}$

Step 2

Simplify each term.

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Step 2.1

Multiply $3$ by $6$ .

$\sqrt{18 + 2^{2} + 8 - 5} + 6 \cdot 3^{2}$

Step 2.2

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

$\sqrt{18 + 4 + 8 - 5} + 6 \cdot 3^{2}$

Step 2.3

Add $18$ and $4$ .

$\sqrt{22 + 8 - 5} + 6 \cdot 3^{2}$

Step 2.4

Add $22$ and $8$ .

$\sqrt{30 - 5} + 6 \cdot 3^{2}$

Step 2.5

Subtract $5$ from $30$ .

$\sqrt{25} + 6 \cdot 3^{2}$

Step 2.6

Rewrite $25$ as $5^{2}$ .

$\sqrt{5^{2}} + 6 \cdot 3^{2}$

Step 2.7

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

$5 + 6 \cdot 3^{2}$

Step 2.8

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

$5 + 6 \cdot 9$

Step 2.9

Multiply $6$ by $9$ .

$5 + 54$

Step 3

Add $5$ and $54$ .

$59$