Evaluate (13-5)^2-3 square root of 4*2+1

${(13 - 5)}^{2} - 3 \sqrt{4 \cdot 2 + 1}$

Step 1

Simplify each term.

Subtract $5$ from $13$ .

$8^{2} - 3 \sqrt{4 \cdot 2 + 1}$

Raise $8$ to the power of $2$ .

$64 - 3 \sqrt{4 \cdot 2 + 1}$

Multiply $4$ by $2$ .

$64 - 3 \sqrt{8 + 1}$

Add $8$ and $1$ .

$64 - 3 \sqrt{9}$

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

$64 - 3 \sqrt{3^{2}}$

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

$64 - 3 \cdot 3$

Multiply $- 3$ by $3$ .

$64 - 9$

Step 2

Subtract $9$ from $64$ .

$55$