Square root of 5392

The square root of 5392 is 73.430239 (rounded to 6 decimal places). In simplest radical form it is 4√337.

Square root of 5392

Pick any whole number from 1 to 10,000.

\sqrt{5392} = 4\sqrt{337} \approx 73.430239

How to work it out

1
The square root of 5392 is the number that multiplied by itself gives 5392.
2
5392 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: 5392 = 16 × 337, so
$\sqrt{5392} = \sqrt{16 \times 337} = 4\sqrt{337}$
4
A calculator, or long division of digits, gives
$\sqrt{5392} \approx 73.430239$

LaTeX source of the formulas on this page

\[ \sqrt{5392} = 4\sqrt{337} \approx 73.430239 \]
\[ \sqrt{5392} = \sqrt{16 \times 337} = 4\sqrt{337} \]
\[ \sqrt{5392} \approx 73.430239 \]

What is the square root of 5392?

The square root of 5392 is 73.430239 (rounded to 6 decimal places). In simplest radical form it is 4√337.

Is 5392 a perfect square?

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

What is 5392 squared?

5392 × 5392 = 29073664.

What is the square root of 5392 rounded to 2 decimals?

73.43.