Square root of 1328

The square root of 1328 is 36.441734 (rounded to 6 decimal places). In simplest radical form it is 4√83.

Square root of 1328

Pick any whole number from 1 to 10,000.

\sqrt{1328} = 4\sqrt{83} \approx 36.441734

How to work it out

1
The square root of 1328 is the number that multiplied by itself gives 1328.
2
1328 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: 1328 = 16 × 83, so
$\sqrt{1328} = \sqrt{16 \times 83} = 4\sqrt{83}$
4
A calculator, or long division of digits, gives
$\sqrt{1328} \approx 36.441734$

LaTeX source of the formulas on this page

\[ \sqrt{1328} = 4\sqrt{83} \approx 36.441734 \]
\[ \sqrt{1328} = \sqrt{16 \times 83} = 4\sqrt{83} \]
\[ \sqrt{1328} \approx 36.441734 \]

What is the square root of 1328?

The square root of 1328 is 36.441734 (rounded to 6 decimal places). In simplest radical form it is 4√83.

Is 1328 a perfect square?

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

What is 1328 squared?

1328 × 1328 = 1763584.

What is the square root of 1328 rounded to 2 decimals?

36.44.