Answer:
16×sqrt(3)
Step-by-step explanation:
what full square numbers are factors in the numbers under the square root that we can pull out ?
and then multiply the rest under the square root and possibly repeat one more time.
32 = 16×2
16 is a great square number.
in 24 we find 4 as the largest square factor.
so,
sqrt(32)×sqrt(24) = sqrt(16×2)×sqrt(4×6) =
= 4×sqrt(2)×2×sqrt(6) = 8×sqrt(2×6) = 8×sqrt(12) =
= 8×sqrt(4×3) = 8×2×sqrt(3) = 16×sqrt(3)
