Answer:
3√6 {3√6 is the simplest form of √54.}
Explanation:
An alternate way of doing the simplification:
We can take √54 and break down 54 inside the radical:
√3×3×3×2
Remember that the square root and square operations are opposite - they cancel each other out. And so if we can find squares, we can cancel them against the square root:
√3²×3×2
And if we want, we can put the square into its own radical:
√3²√3×2
Cancel the square against the square root, and then simplify the other root:
3√6