Square root of 1428

The square root of 1428 is 37.788887 (rounded to 6 decimal places). In simplest radical form it is 2√357.

Square root of 1428

Pick any whole number from 1 to 10,000.

\sqrt{1428} = 2\sqrt{357} \approx 37.788887

How to work it out

1
The square root of 1428 is the number that multiplied by itself gives 1428.
2
1428 is between the perfect squares 37² = 1369 and 38² = 1444, so its square root is between 37 and 38.
3
Pull out the biggest square factor: 1428 = 4 × 357, so
$\sqrt{1428} = \sqrt{4 \times 357} = 2\sqrt{357}$
4
A calculator, or long division of digits, gives
$\sqrt{1428} \approx 37.788887$

LaTeX source of the formulas on this page

\[ \sqrt{1428} = 2\sqrt{357} \approx 37.788887 \]
\[ \sqrt{1428} = \sqrt{4 \times 357} = 2\sqrt{357} \]
\[ \sqrt{1428} \approx 37.788887 \]

What is the square root of 1428?

The square root of 1428 is 37.788887 (rounded to 6 decimal places). In simplest radical form it is 2√357.

Is 1428 a perfect square?

No. It lies between 37² = 1369 and 38² = 1444.

What is 1428 squared?

1428 × 1428 = 2039184.

What is the square root of 1428 rounded to 2 decimals?

37.79.