Square root of 1300

The square root of 1300 is 36.055513 (rounded to 6 decimal places). In simplest radical form it is 10√13.

Square root of 1300

Pick any whole number from 1 to 10,000.

\sqrt{1300} = 10\sqrt{13} \approx 36.055513

How to work it out

1
The square root of 1300 is the number that multiplied by itself gives 1300.
2
1300 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: 1300 = 100 × 13, so
$\sqrt{1300} = \sqrt{100 \times 13} = 10\sqrt{13}$
4
A calculator, or long division of digits, gives
$\sqrt{1300} \approx 36.055513$

LaTeX source of the formulas on this page

\[ \sqrt{1300} = 10\sqrt{13} \approx 36.055513 \]
\[ \sqrt{1300} = \sqrt{100 \times 13} = 10\sqrt{13} \]
\[ \sqrt{1300} \approx 36.055513 \]

What is the square root of 1300?

The square root of 1300 is 36.055513 (rounded to 6 decimal places). In simplest radical form it is 10√13.

Is 1300 a perfect square?

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

What is 1300 squared?

1300 × 1300 = 1690000.

What is the square root of 1300 rounded to 2 decimals?

36.06.