Square root of 5274

The square root of 5274 is 72.622311 (rounded to 6 decimal places). In simplest radical form it is 3√586.

Square root of 5274

Pick any whole number from 1 to 10,000.

\sqrt{5274} = 3\sqrt{586} \approx 72.622311

How to work it out

1
The square root of 5274 is the number that multiplied by itself gives 5274.
2
5274 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: 5274 = 9 × 586, so
$\sqrt{5274} = \sqrt{9 \times 586} = 3\sqrt{586}$
4
A calculator, or long division of digits, gives
$\sqrt{5274} \approx 72.622311$

LaTeX source of the formulas on this page

\[ \sqrt{5274} = 3\sqrt{586} \approx 72.622311 \]
\[ \sqrt{5274} = \sqrt{9 \times 586} = 3\sqrt{586} \]
\[ \sqrt{5274} \approx 72.622311 \]

What is the square root of 5274?

The square root of 5274 is 72.622311 (rounded to 6 decimal places). In simplest radical form it is 3√586.

Is 5274 a perfect square?

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

What is 5274 squared?

5274 × 5274 = 27815076.

What is the square root of 5274 rounded to 2 decimals?

72.62.