Square root of 1392

The square root of 1392 is 37.309516 (rounded to 6 decimal places). In simplest radical form it is 4√87.

Square root of 1392

Pick any whole number from 1 to 10,000.

\sqrt{1392} = 4\sqrt{87} \approx 37.309516

How to work it out

1
The square root of 1392 is the number that multiplied by itself gives 1392.
2
1392 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: 1392 = 16 × 87, so
$\sqrt{1392} = \sqrt{16 \times 87} = 4\sqrt{87}$
4
A calculator, or long division of digits, gives
$\sqrt{1392} \approx 37.309516$

LaTeX source of the formulas on this page

\[ \sqrt{1392} = 4\sqrt{87} \approx 37.309516 \]
\[ \sqrt{1392} = \sqrt{16 \times 87} = 4\sqrt{87} \]
\[ \sqrt{1392} \approx 37.309516 \]

What is the square root of 1392?

The square root of 1392 is 37.309516 (rounded to 6 decimal places). In simplest radical form it is 4√87.

Is 1392 a perfect square?

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

What is 1392 squared?

1392 × 1392 = 1937664.

What is the square root of 1392 rounded to 2 decimals?

37.31.