Square root of 380

The square root of 380 is 19.493589 (rounded to 6 decimal places). In simplest radical form it is 2√95.

Square root of 380

Pick any whole number from 1 to 10,000.

\sqrt{380} = 2\sqrt{95} \approx 19.493589

How to work it out

1
The square root of 380 is the number that multiplied by itself gives 380.
2
380 is between the perfect squares 19² = 361 and 20² = 400, so its square root is between 19 and 20.
3
Pull out the biggest square factor: 380 = 4 × 95, so
$\sqrt{380} = \sqrt{4 \times 95} = 2\sqrt{95}$
4
A calculator, or long division of digits, gives
$\sqrt{380} \approx 19.493589$

LaTeX source of the formulas on this page

\[ \sqrt{380} = 2\sqrt{95} \approx 19.493589 \]
\[ \sqrt{380} = \sqrt{4 \times 95} = 2\sqrt{95} \]
\[ \sqrt{380} \approx 19.493589 \]

What is the square root of 380?

The square root of 380 is 19.493589 (rounded to 6 decimal places). In simplest radical form it is 2√95.

Is 380 a perfect square?

No. It lies between 19² = 361 and 20² = 400.

What is 380 squared?

380 × 380 = 144400.

What is the square root of 380 rounded to 2 decimals?

19.49.