Square root of 5409

The square root of 5409 is 73.545904 (rounded to 6 decimal places). In simplest radical form it is 3√601.

Square root of 5409

Pick any whole number from 1 to 10,000.

\sqrt{5409} = 3\sqrt{601} \approx 73.545904

How to work it out

1
The square root of 5409 is the number that multiplied by itself gives 5409.
2
5409 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: 5409 = 9 × 601, so
$\sqrt{5409} = \sqrt{9 \times 601} = 3\sqrt{601}$
4
A calculator, or long division of digits, gives
$\sqrt{5409} \approx 73.545904$

LaTeX source of the formulas on this page

\[ \sqrt{5409} = 3\sqrt{601} \approx 73.545904 \]
\[ \sqrt{5409} = \sqrt{9 \times 601} = 3\sqrt{601} \]
\[ \sqrt{5409} \approx 73.545904 \]

What is the square root of 5409?

The square root of 5409 is 73.545904 (rounded to 6 decimal places). In simplest radical form it is 3√601.

Is 5409 a perfect square?

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

What is 5409 squared?

5409 × 5409 = 29257281.

What is the square root of 5409 rounded to 2 decimals?

73.55.