Simplify (12-8)^3-2*7+ square root of 36

${(12 - 8)}^{3} - 2 \times 7 + \sqrt{36}$

Simplify each term.

Subtract $8$ from $12$ .

$4^{3} - 2 \cdot 7 + \sqrt{36}$

Raise $4$ to the power of $3$ .

$64 - 2 \cdot 7 + \sqrt{36}$

Multiply $- 2$ by $7$ .

$64 - 14 + \sqrt{36}$

Rewrite $36$ as $6^{2}$ .

$64 - 14 + \sqrt{6^{2}}$

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

$64 - 14 + 6$

Simplify by adding and subtracting.

Subtract $14$ from $64$ .

$50 + 6$

Add $50$ and $6$ .

$56$