Question

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

Answer 1

`4√(32)*√(2)\rightarrow4√(32*2)` 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√(64)=4*(\pm8)`
Depending on the choices, you can have either
`4*8=32` or
`4*(-8)=-32`