Square root of 2124

The square root of 2124 is 46.086874 (rounded to 6 decimal places). In simplest radical form it is 6√59.

Square root of 2124

Pick any whole number from 1 to 10,000.

\sqrt{2124} = 6\sqrt{59} \approx 46.086874

How to work it out

1
The square root of 2124 is the number that multiplied by itself gives 2124.
2
2124 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: 2124 = 36 × 59, so
$\sqrt{2124} = \sqrt{36 \times 59} = 6\sqrt{59}$
4
A calculator, or long division of digits, gives
$\sqrt{2124} \approx 46.086874$

LaTeX source of the formulas on this page

\[ \sqrt{2124} = 6\sqrt{59} \approx 46.086874 \]
\[ \sqrt{2124} = \sqrt{36 \times 59} = 6\sqrt{59} \]
\[ \sqrt{2124} \approx 46.086874 \]

What is the square root of 2124?

The square root of 2124 is 46.086874 (rounded to 6 decimal places). In simplest radical form it is 6√59.

Is 2124 a perfect square?

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

What is 2124 squared?

2124 × 2124 = 4511376.

What is the square root of 2124 rounded to 2 decimals?

46.09.