What is 54−−√3 simplified?

1 answer

To simplify \(54 \sqrt{3}\), we can first break down the number 54:

\[ 54 = 18 \times 3 = 9 \times 6 = 2 \times 3^3 \]

So, \(54\) can be rewritten as:

\[ 54 = 9 \cdot 6 = 3^2 \cdot 6 \]

Now we can express \(54 \sqrt{3}\):

\[ 54 \sqrt{3} = 54 \times \sqrt{3} = 54 \cdot 3^{1/2} \]

This expression isn't exactly simplified in a conventional way with whole numbers, but if we are to multiply 54 by \(\sqrt{3}\):

\[ 54\sqrt{3} \]

This is already a simplified expression. If you're intending to rationalize or change its form, please clarify what you're looking for, but as for simplification in terms of radicals, \(54\sqrt{3}\) is already simplified.