Algebra Examples

$\sqrt{72 \div (3 + 5)} + 5 \cdot 2^{2}$

Step 1

Simplify each term.

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Step 1.1

Add $3$ and $5$ .

$\sqrt{72 \div 8} + 5 \cdot 2^{2}$

Step 1.2

Divide $72$ by $8$ .

$\sqrt{9} + 5 \cdot 2^{2}$

Step 1.3

Rewrite $9$ as $3^{2}$ .

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

Step 1.4

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

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

Step 1.5

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

$3 + 5 \cdot 4$

Step 1.6

Multiply $5$ by $4$ .

$3 + 20$

Step 2

Add $3$ and $20$ .

$23$