Square root of 1348

The square root of 1348 is 36.71512 (rounded to 6 decimal places). In simplest radical form it is 2√337.

Square root of 1348

Pick any whole number from 1 to 10,000.

\sqrt{1348} = 2\sqrt{337} \approx 36.71512

How to work it out

1
The square root of 1348 is the number that multiplied by itself gives 1348.
2
1348 is between the perfect squares 36² = 1296 and 37² = 1369, so its square root is between 36 and 37.
3
Pull out the biggest square factor: 1348 = 4 × 337, so
$\sqrt{1348} = \sqrt{4 \times 337} = 2\sqrt{337}$
4
A calculator, or long division of digits, gives
$\sqrt{1348} \approx 36.71512$

LaTeX source of the formulas on this page

\[ \sqrt{1348} = 2\sqrt{337} \approx 36.71512 \]
\[ \sqrt{1348} = \sqrt{4 \times 337} = 2\sqrt{337} \]
\[ \sqrt{1348} \approx 36.71512 \]

What is the square root of 1348?

The square root of 1348 is 36.71512 (rounded to 6 decimal places). In simplest radical form it is 2√337.

Is 1348 a perfect square?

No. It lies between 36² = 1296 and 37² = 1369.

What is 1348 squared?

1348 × 1348 = 1817104.

What is the square root of 1348 rounded to 2 decimals?

36.72.