Evaluate 2^3-(( square root of 4)(6/3-1))

$2^{3} - ((\sqrt{4}) (\frac{6}{3} - 1))$

Simplify each term.

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

$8 - ((\sqrt{4}) (\frac{6}{3} - 1))$

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

$8 - (\sqrt{2^{2}} (\frac{6}{3} - 1))$

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

$8 - (2 (\frac{6}{3} - 1))$

Divide $6$ by $3$ .

$8 - (2 (2 - 1))$

Subtract $1$ from $2$ .

$8 - (2 \cdot 1)$

Multiply $2$ by $1$ .

$8 - 1 \cdot 2$

Multiply $- 1$ by $2$ .

$8 - 2$

Subtract $2$ from $8$ .

$6$