Square root of 2160

The square root of 2160 is 46.4758 (rounded to 6 decimal places). In simplest radical form it is 12√15.

Square root of 2160

Pick any whole number from 1 to 10,000.

\sqrt{2160} = 12\sqrt{15} \approx 46.4758

How to work it out

1
The square root of 2160 is the number that multiplied by itself gives 2160.
2
2160 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: 2160 = 144 × 15, so
$\sqrt{2160} = \sqrt{144 \times 15} = 12\sqrt{15}$
4
A calculator, or long division of digits, gives
$\sqrt{2160} \approx 46.4758$

LaTeX source of the formulas on this page

\[ \sqrt{2160} = 12\sqrt{15} \approx 46.4758 \]
\[ \sqrt{2160} = \sqrt{144 \times 15} = 12\sqrt{15} \]
\[ \sqrt{2160} \approx 46.4758 \]

What is the square root of 2160?

The square root of 2160 is 46.4758 (rounded to 6 decimal places). In simplest radical form it is 12√15.

Is 2160 a perfect square?

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

What is 2160 squared?

2160 × 2160 = 4665600.

What is the square root of 2160 rounded to 2 decimals?

46.48.