Square root of 3987

The square root of 3987 is 63.142696 (rounded to 6 decimal places). In simplest radical form it is 3√443.

Square root of 3987

Pick any whole number from 1 to 10,000.

\sqrt{3987} = 3\sqrt{443} \approx 63.142696

How to work it out

1
The square root of 3987 is the number that multiplied by itself gives 3987.
2
3987 is between the perfect squares 63² = 3969 and 64² = 4096, so its square root is between 63 and 64.
3
Pull out the biggest square factor: 3987 = 9 × 443, so
$\sqrt{3987} = \sqrt{9 \times 443} = 3\sqrt{443}$
4
A calculator, or long division of digits, gives
$\sqrt{3987} \approx 63.142696$

LaTeX source of the formulas on this page

\[ \sqrt{3987} = 3\sqrt{443} \approx 63.142696 \]
\[ \sqrt{3987} = \sqrt{9 \times 443} = 3\sqrt{443} \]
\[ \sqrt{3987} \approx 63.142696 \]

What is the square root of 3987?

The square root of 3987 is 63.142696 (rounded to 6 decimal places). In simplest radical form it is 3√443.

Is 3987 a perfect square?

No. It lies between 63² = 3969 and 64² = 4096.

What is 3987 squared?

3987 × 3987 = 15896169.

What is the square root of 3987 rounded to 2 decimals?

63.14.