Square root of 2187

The square root of 2187 is 46.765372 (rounded to 6 decimal places). In simplest radical form it is 27√3.

Square root of 2187

Pick any whole number from 1 to 10,000.

\sqrt{2187} = 27\sqrt{3} \approx 46.765372

How to work it out

1
The square root of 2187 is the number that multiplied by itself gives 2187.
2
2187 is between the perfect squares 46² = 2116 and 47² = 2209, so its square root is between 46 and 47.
3
Pull out the biggest square factor: 2187 = 729 × 3, so
$\sqrt{2187} = \sqrt{729 \times 3} = 27\sqrt{3}$
4
A calculator, or long division of digits, gives
$\sqrt{2187} \approx 46.765372$

LaTeX source of the formulas on this page

\[ \sqrt{2187} = 27\sqrt{3} \approx 46.765372 \]
\[ \sqrt{2187} = \sqrt{729 \times 3} = 27\sqrt{3} \]
\[ \sqrt{2187} \approx 46.765372 \]

What is the square root of 2187?

The square root of 2187 is 46.765372 (rounded to 6 decimal places). In simplest radical form it is 27√3.

Is 2187 a perfect square?

No. It lies between 46² = 2116 and 47² = 2209.

What is 2187 squared?

2187 × 2187 = 4782969.

What is the square root of 2187 rounded to 2 decimals?

46.77.