Square root of 4084

The square root of 4084 is 63.906181 (rounded to 6 decimal places). In simplest radical form it is 2√1021.

Square root of 4084

Pick any whole number from 1 to 10,000.

\sqrt{4084} = 2\sqrt{1021} \approx 63.906181

How to work it out

1
The square root of 4084 is the number that multiplied by itself gives 4084.
2
4084 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: 4084 = 4 × 1021, so
$\sqrt{4084} = \sqrt{4 \times 1021} = 2\sqrt{1021}$
4
A calculator, or long division of digits, gives
$\sqrt{4084} \approx 63.906181$

LaTeX source of the formulas on this page

\[ \sqrt{4084} = 2\sqrt{1021} \approx 63.906181 \]
\[ \sqrt{4084} = \sqrt{4 \times 1021} = 2\sqrt{1021} \]
\[ \sqrt{4084} \approx 63.906181 \]

What is the square root of 4084?

The square root of 4084 is 63.906181 (rounded to 6 decimal places). In simplest radical form it is 2√1021.

Is 4084 a perfect square?

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

What is 4084 squared?

4084 × 4084 = 16679056.

What is the square root of 4084 rounded to 2 decimals?

63.91.