Square root of 1503

The square root of 1503 is 38.768544 (rounded to 6 decimal places). In simplest radical form it is 3√167.

Square root of 1503

Pick any whole number from 1 to 10,000.

\sqrt{1503} = 3\sqrt{167} \approx 38.768544

How to work it out

1
The square root of 1503 is the number that multiplied by itself gives 1503.
2
1503 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: 1503 = 9 × 167, so
$\sqrt{1503} = \sqrt{9 \times 167} = 3\sqrt{167}$
4
A calculator, or long division of digits, gives
$\sqrt{1503} \approx 38.768544$

LaTeX source of the formulas on this page

\[ \sqrt{1503} = 3\sqrt{167} \approx 38.768544 \]
\[ \sqrt{1503} = \sqrt{9 \times 167} = 3\sqrt{167} \]
\[ \sqrt{1503} \approx 38.768544 \]

What is the square root of 1503?

The square root of 1503 is 38.768544 (rounded to 6 decimal places). In simplest radical form it is 3√167.

Is 1503 a perfect square?

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

What is 1503 squared?

1503 × 1503 = 2259009.

What is the square root of 1503 rounded to 2 decimals?

38.77.