Square root of 3887

The square root of 3887 is 62.34581 (rounded to 6 decimal places). In simplest radical form it is 13√23.

Square root of 3887

Pick any whole number from 1 to 10,000.

\sqrt{3887} = 13\sqrt{23} \approx 62.34581

How to work it out

1
The square root of 3887 is the number that multiplied by itself gives 3887.
2
3887 is between the perfect squares 62² = 3844 and 63² = 3969, so its square root is between 62 and 63.
3
Pull out the biggest square factor: 3887 = 169 × 23, so
$\sqrt{3887} = \sqrt{169 \times 23} = 13\sqrt{23}$
4
A calculator, or long division of digits, gives
$\sqrt{3887} \approx 62.34581$

LaTeX source of the formulas on this page

\[ \sqrt{3887} = 13\sqrt{23} \approx 62.34581 \]
\[ \sqrt{3887} = \sqrt{169 \times 23} = 13\sqrt{23} \]
\[ \sqrt{3887} \approx 62.34581 \]

What is the square root of 3887?

The square root of 3887 is 62.34581 (rounded to 6 decimal places). In simplest radical form it is 13√23.

Is 3887 a perfect square?

No. It lies between 62² = 3844 and 63² = 3969.

What is 3887 squared?

3887 × 3887 = 15108769.

What is the square root of 3887 rounded to 2 decimals?

62.35.