Square root of 3988

The square root of 3988 is 63.150614 (rounded to 6 decimal places). In simplest radical form it is 2√997.

Square root of 3988

Pick any whole number from 1 to 10,000.

\sqrt{3988} = 2\sqrt{997} \approx 63.150614

How to work it out

1
The square root of 3988 is the number that multiplied by itself gives 3988.
2
3988 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: 3988 = 4 × 997, so
$\sqrt{3988} = \sqrt{4 \times 997} = 2\sqrt{997}$
4
A calculator, or long division of digits, gives
$\sqrt{3988} \approx 63.150614$

LaTeX source of the formulas on this page

\[ \sqrt{3988} = 2\sqrt{997} \approx 63.150614 \]
\[ \sqrt{3988} = \sqrt{4 \times 997} = 2\sqrt{997} \]
\[ \sqrt{3988} \approx 63.150614 \]

What is the square root of 3988?

The square root of 3988 is 63.150614 (rounded to 6 decimal places). In simplest radical form it is 2√997.

Is 3988 a perfect square?

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

What is 3988 squared?

3988 × 3988 = 15904144.

What is the square root of 3988 rounded to 2 decimals?

63.15.