Question

Which expression is equivalent to 4√32⋅√2 ?

Answer 1

$4\sqrt{32}\times\sqrt{2}\rightarrow4\sqrt{32\times2}$ because two square rooted numbers multiplied together equals the square root of the radicands (the number under a square root symbol is the "radicand"

so now you have: $4\sqrt{64}=4\times(\pm8)$
Depending on the choices, you can have either $4\times8=32$ or $4\times(-8)=-32$