Square root of 1520

The square root of 1520 is 38.987177 (rounded to 6 decimal places). In simplest radical form it is 4√95.

Square root of 1520

Pick any whole number from 1 to 10,000.

\sqrt{1520} = 4\sqrt{95} \approx 38.987177

How to work it out

1
The square root of 1520 is the number that multiplied by itself gives 1520.
2
1520 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: 1520 = 16 × 95, so
$\sqrt{1520} = \sqrt{16 \times 95} = 4\sqrt{95}$
4
A calculator, or long division of digits, gives
$\sqrt{1520} \approx 38.987177$

LaTeX source of the formulas on this page

\[ \sqrt{1520} = 4\sqrt{95} \approx 38.987177 \]
\[ \sqrt{1520} = \sqrt{16 \times 95} = 4\sqrt{95} \]
\[ \sqrt{1520} \approx 38.987177 \]

What is the square root of 1520?

The square root of 1520 is 38.987177 (rounded to 6 decimal places). In simplest radical form it is 4√95.

Is 1520 a perfect square?

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

What is 1520 squared?

1520 × 1520 = 2310400.

What is the square root of 1520 rounded to 2 decimals?

38.99.