Square root of 5340

The square root of 5340 is 73.075304 (rounded to 6 decimal places). In simplest radical form it is 2√1335.

Square root of 5340

Pick any whole number from 1 to 10,000.

\sqrt{5340} = 2\sqrt{1335} \approx 73.075304

How to work it out

1
The square root of 5340 is the number that multiplied by itself gives 5340.
2
5340 is between the perfect squares 73² = 5329 and 74² = 5476, so its square root is between 73 and 74.
3
Pull out the biggest square factor: 5340 = 4 × 1335, so
$\sqrt{5340} = \sqrt{4 \times 1335} = 2\sqrt{1335}$
4
A calculator, or long division of digits, gives
$\sqrt{5340} \approx 73.075304$

LaTeX source of the formulas on this page

\[ \sqrt{5340} = 2\sqrt{1335} \approx 73.075304 \]
\[ \sqrt{5340} = \sqrt{4 \times 1335} = 2\sqrt{1335} \]
\[ \sqrt{5340} \approx 73.075304 \]

What is the square root of 5340?

The square root of 5340 is 73.075304 (rounded to 6 decimal places). In simplest radical form it is 2√1335.

Is 5340 a perfect square?

No. It lies between 73² = 5329 and 74² = 5476.

What is 5340 squared?

5340 × 5340 = 28515600.

What is the square root of 5340 rounded to 2 decimals?

73.08.