Square root of 3496

The square root of 3496 is 59.126982 (rounded to 6 decimal places). In simplest radical form it is 2√874.

Square root of 3496

Pick any whole number from 1 to 10,000.

\sqrt{3496} = 2\sqrt{874} \approx 59.126982

How to work it out

1
The square root of 3496 is the number that multiplied by itself gives 3496.
2
3496 is between the perfect squares 59² = 3481 and 60² = 3600, so its square root is between 59 and 60.
3
Pull out the biggest square factor: 3496 = 4 × 874, so
$\sqrt{3496} = \sqrt{4 \times 874} = 2\sqrt{874}$
4
A calculator, or long division of digits, gives
$\sqrt{3496} \approx 59.126982$

LaTeX source of the formulas on this page

\[ \sqrt{3496} = 2\sqrt{874} \approx 59.126982 \]
\[ \sqrt{3496} = \sqrt{4 \times 874} = 2\sqrt{874} \]
\[ \sqrt{3496} \approx 59.126982 \]

What is the square root of 3496?

The square root of 3496 is 59.126982 (rounded to 6 decimal places). In simplest radical form it is 2√874.

Is 3496 a perfect square?

No. It lies between 59² = 3481 and 60² = 3600.

What is 3496 squared?

3496 × 3496 = 12222016.

What is the square root of 3496 rounded to 2 decimals?

59.13.