Square root of 5300

The square root of 5300 is 72.801099 (rounded to 6 decimal places). In simplest radical form it is 10√53.

Square root of 5300

Pick any whole number from 1 to 10,000.

\sqrt{5300} = 10\sqrt{53} \approx 72.801099

How to work it out

1
The square root of 5300 is the number that multiplied by itself gives 5300.
2
5300 is between the perfect squares 72² = 5184 and 73² = 5329, so its square root is between 72 and 73.
3
Pull out the biggest square factor: 5300 = 100 × 53, so
$\sqrt{5300} = \sqrt{100 \times 53} = 10\sqrt{53}$
4
A calculator, or long division of digits, gives
$\sqrt{5300} \approx 72.801099$

LaTeX source of the formulas on this page

\[ \sqrt{5300} = 10\sqrt{53} \approx 72.801099 \]
\[ \sqrt{5300} = \sqrt{100 \times 53} = 10\sqrt{53} \]
\[ \sqrt{5300} \approx 72.801099 \]

What is the square root of 5300?

The square root of 5300 is 72.801099 (rounded to 6 decimal places). In simplest radical form it is 10√53.

Is 5300 a perfect square?

No. It lies between 72² = 5184 and 73² = 5329.

What is 5300 squared?

5300 × 5300 = 28090000.

What is the square root of 5300 rounded to 2 decimals?

72.80.