Square root of 2428

The square root of 2428 is 49.27474 (rounded to 6 decimal places). In simplest radical form it is 2√607.

Square root of 2428

Pick any whole number from 1 to 10,000.

\sqrt{2428} = 2\sqrt{607} \approx 49.27474

How to work it out

1
The square root of 2428 is the number that multiplied by itself gives 2428.
2
2428 is between the perfect squares 49² = 2401 and 50² = 2500, so its square root is between 49 and 50.
3
Pull out the biggest square factor: 2428 = 4 × 607, so
$\sqrt{2428} = \sqrt{4 \times 607} = 2\sqrt{607}$
4
A calculator, or long division of digits, gives
$\sqrt{2428} \approx 49.27474$

LaTeX source of the formulas on this page

\[ \sqrt{2428} = 2\sqrt{607} \approx 49.27474 \]
\[ \sqrt{2428} = \sqrt{4 \times 607} = 2\sqrt{607} \]
\[ \sqrt{2428} \approx 49.27474 \]

What is the square root of 2428?

The square root of 2428 is 49.27474 (rounded to 6 decimal places). In simplest radical form it is 2√607.

Is 2428 a perfect square?

No. It lies between 49² = 2401 and 50² = 2500.

What is 2428 squared?

2428 × 2428 = 5895184.

What is the square root of 2428 rounded to 2 decimals?

49.27.