Square root of 1500

The square root of 1500 is 38.729833 (rounded to 6 decimal places). In simplest radical form it is 10√15.

Square root of 1500

Pick any whole number from 1 to 10,000.

\sqrt{1500} = 10\sqrt{15} \approx 38.729833

How to work it out

1
The square root of 1500 is the number that multiplied by itself gives 1500.
2
1500 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: 1500 = 100 × 15, so
$\sqrt{1500} = \sqrt{100 \times 15} = 10\sqrt{15}$
4
A calculator, or long division of digits, gives
$\sqrt{1500} \approx 38.729833$

LaTeX source of the formulas on this page

\[ \sqrt{1500} = 10\sqrt{15} \approx 38.729833 \]
\[ \sqrt{1500} = \sqrt{100 \times 15} = 10\sqrt{15} \]
\[ \sqrt{1500} \approx 38.729833 \]

What is the square root of 1500?

The square root of 1500 is 38.729833 (rounded to 6 decimal places). In simplest radical form it is 10√15.

Is 1500 a perfect square?

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

What is 1500 squared?

1500 × 1500 = 2250000.

What is the square root of 1500 rounded to 2 decimals?

38.73.