Answer:
[tex] - 32[/tex]
Step-by-step explanation:
1) Simplify
[tex] \sqrt{32} \: to \: 4 \sqrt{2} [/tex]
[tex] - 8 \sqrt{2} \times \frac{1}{2} \times 4 \sqrt{2} [/tex]
2) Use this formula: a/b × c/d = ac/bd.
[tex] - \frac{8 \sqrt{2} \times 1 \times 4 \sqrt{2} }{2} [/tex]
3) Simplify.
[tex] - \frac{32 \sqrt{2 \sqrt{2} } }{2} [/tex]
4)
[tex]simplify \: 32 \sqrt{2 } \sqrt{2} \: to \: 32 \sqrt{4} [/tex]
5) Since 2 × 2 = 4, the square root of 4 is 2.
[tex] - \frac{32 \times 2}{2} [/tex]
6) Simplify 32 × 2 to 64.
[tex] - \frac{64}{2} [/tex]
7) Simplify 64/2 to 32.
[tex] - 32[/tex]
Therefor, the answer is option three -32