Square root of 1504

The square root of 1504 is 38.781439 (rounded to 6 decimal places). In simplest radical form it is 4√94.

Square root of 1504

Pick any whole number from 1 to 10,000.

\sqrt{1504} = 4\sqrt{94} \approx 38.781439

How to work it out

1
The square root of 1504 is the number that multiplied by itself gives 1504.
2
1504 is between the perfect squares 38² = 1444 and 39² = 1521, so its square root is between 38 and 39.
3
Pull out the biggest square factor: 1504 = 16 × 94, so
$\sqrt{1504} = \sqrt{16 \times 94} = 4\sqrt{94}$
4
A calculator, or long division of digits, gives
$\sqrt{1504} \approx 38.781439$

LaTeX source of the formulas on this page

\[ \sqrt{1504} = 4\sqrt{94} \approx 38.781439 \]
\[ \sqrt{1504} = \sqrt{16 \times 94} = 4\sqrt{94} \]
\[ \sqrt{1504} \approx 38.781439 \]

What is the square root of 1504?

The square root of 1504 is 38.781439 (rounded to 6 decimal places). In simplest radical form it is 4√94.

Is 1504 a perfect square?

No. It lies between 38² = 1444 and 39² = 1521.

What is 1504 squared?

1504 × 1504 = 2262016.

What is the square root of 1504 rounded to 2 decimals?

38.78.