Square root of 5240

The square root of 5240 is 72.387844 (rounded to 6 decimal places). In simplest radical form it is 2√1310.

Square root of 5240

Pick any whole number from 1 to 10,000.

\sqrt{5240} = 2\sqrt{1310} \approx 72.387844

How to work it out

1
The square root of 5240 is the number that multiplied by itself gives 5240.
2
5240 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: 5240 = 4 × 1310, so
$\sqrt{5240} = \sqrt{4 \times 1310} = 2\sqrt{1310}$
4
A calculator, or long division of digits, gives
$\sqrt{5240} \approx 72.387844$

LaTeX source of the formulas on this page

\[ \sqrt{5240} = 2\sqrt{1310} \approx 72.387844 \]
\[ \sqrt{5240} = \sqrt{4 \times 1310} = 2\sqrt{1310} \]
\[ \sqrt{5240} \approx 72.387844 \]

What is the square root of 5240?

The square root of 5240 is 72.387844 (rounded to 6 decimal places). In simplest radical form it is 2√1310.

Is 5240 a perfect square?

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

What is 5240 squared?

5240 × 5240 = 27457600.

What is the square root of 5240 rounded to 2 decimals?

72.39.