Square root of 3800

The square root of 3800 is 61.64414 (rounded to 6 decimal places). In simplest radical form it is 10√38.

Square root of 3800

Pick any whole number from 1 to 10,000.

\sqrt{3800} = 10\sqrt{38} \approx 61.64414

How to work it out

1
The square root of 3800 is the number that multiplied by itself gives 3800.
2
3800 is between the perfect squares 61² = 3721 and 62² = 3844, so its square root is between 61 and 62.
3
Pull out the biggest square factor: 3800 = 100 × 38, so
$\sqrt{3800} = \sqrt{100 \times 38} = 10\sqrt{38}$
4
A calculator, or long division of digits, gives
$\sqrt{3800} \approx 61.64414$

LaTeX source of the formulas on this page

\[ \sqrt{3800} = 10\sqrt{38} \approx 61.64414 \]
\[ \sqrt{3800} = \sqrt{100 \times 38} = 10\sqrt{38} \]
\[ \sqrt{3800} \approx 61.64414 \]

What is the square root of 3800?

The square root of 3800 is 61.64414 (rounded to 6 decimal places). In simplest radical form it is 10√38.

Is 3800 a perfect square?

No. It lies between 61² = 3721 and 62² = 3844.

What is 3800 squared?

3800 × 3800 = 14440000.

What is the square root of 3800 rounded to 2 decimals?

61.64.