Question

What is the simplest radical form of 54

Answer 1

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