Square root of 5424

The square root of 5424 is 73.647811 (rounded to 6 decimal places). In simplest radical form it is 4√339.

Square root of 5424

Pick any whole number from 1 to 10,000.

\sqrt{5424} = 4\sqrt{339} \approx 73.647811

How to work it out

1
The square root of 5424 is the number that multiplied by itself gives 5424.
2
5424 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: 5424 = 16 × 339, so
$\sqrt{5424} = \sqrt{16 \times 339} = 4\sqrt{339}$
4
A calculator, or long division of digits, gives
$\sqrt{5424} \approx 73.647811$

LaTeX source of the formulas on this page

\[ \sqrt{5424} = 4\sqrt{339} \approx 73.647811 \]
\[ \sqrt{5424} = \sqrt{16 \times 339} = 4\sqrt{339} \]
\[ \sqrt{5424} \approx 73.647811 \]

What is the square root of 5424?

The square root of 5424 is 73.647811 (rounded to 6 decimal places). In simplest radical form it is 4√339.

Is 5424 a perfect square?

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

What is 5424 squared?

5424 × 5424 = 29419776.

What is the square root of 5424 rounded to 2 decimals?

73.65.