Square root of 5310

The square root of 5310 is 72.869747 (rounded to 6 decimal places). In simplest radical form it is 3√590.

Square root of 5310

Pick any whole number from 1 to 10,000.

\sqrt{5310} = 3\sqrt{590} \approx 72.869747

How to work it out

1
The square root of 5310 is the number that multiplied by itself gives 5310.
2
5310 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: 5310 = 9 × 590, so
$\sqrt{5310} = \sqrt{9 \times 590} = 3\sqrt{590}$
4
A calculator, or long division of digits, gives
$\sqrt{5310} \approx 72.869747$

LaTeX source of the formulas on this page

\[ \sqrt{5310} = 3\sqrt{590} \approx 72.869747 \]
\[ \sqrt{5310} = \sqrt{9 \times 590} = 3\sqrt{590} \]
\[ \sqrt{5310} \approx 72.869747 \]

What is the square root of 5310?

The square root of 5310 is 72.869747 (rounded to 6 decimal places). In simplest radical form it is 3√590.

Is 5310 a perfect square?

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

What is 5310 squared?

5310 × 5310 = 28196100.

What is the square root of 5310 rounded to 2 decimals?

72.87.