Question

simplify 3 square root of 27

Answer 1

No with just a single number

Answer 2

To simplify \(3 \sqrt{27}\), first, simplify the square root of 27.

We can break it down as follows:

\[
\sqrt{27} = \sqrt{9 \cdot 3} = \sqrt{9} \cdot \sqrt{3} = 3\sqrt{3}
\]

Now, substitute back into the expression:

\[
3 \sqrt{27} = 3 \cdot (3\sqrt{3}) = 9\sqrt{3}
\]

Thus, the simplified form of \(3 \sqrt{27}\) is:

\[
\boxed{9\sqrt{3}}
\]

Answer 3

If you're looking to express \(3 \sqrt{27}\) as a single numerical value, we first calculate the square root and then multiply.

1. Simplify \( \sqrt{27} \):
\[
\sqrt{27} = \sqrt{9 \times 3} = 3\sqrt{3}
\]

2. Now calculate \(3 \times \sqrt{27}\):
\[
3 \sqrt{27} = 3 \times 3\sqrt{3} = 9\sqrt{3}
\]

3. If you want a numerical approximation, calculate \( \sqrt{3} \) (which is approximately 1.732):
\[
9\sqrt{3} \approx 9 \times 1.732 \approx 15.588
\]

Thus, \(3 \sqrt{27}\) as a single numerical value (approximately) is:

\[
\boxed{15.588}
\]