Answer: 6
Explanation:
From the prime factorization of 54 you get:
54 = 2×3×3×3
So ,
You can write it as,
54 = 2×3^2×3,
Make sure all of the factors are in square form, so we add a another 2 and a three to the factors to make them all in square form
You get
=2×3^2×3×2×3 (the last 2×3 is added because one 2 and 3 were not having another pair so they were added to make them squares)
So k is basically 2×3 which is 6
And 54×6 gives us 324, which is a perfect square.