Square root of 3488

The square root of 3488 is 59.059292 (rounded to 6 decimal places). In simplest radical form it is 4√218.

Square root of 3488

Pick any whole number from 1 to 10,000.

\sqrt{3488} = 4\sqrt{218} \approx 59.059292

How to work it out

1
The square root of 3488 is the number that multiplied by itself gives 3488.
2
3488 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: 3488 = 16 × 218, so
$\sqrt{3488} = \sqrt{16 \times 218} = 4\sqrt{218}$
4
A calculator, or long division of digits, gives
$\sqrt{3488} \approx 59.059292$

LaTeX source of the formulas on this page

\[ \sqrt{3488} = 4\sqrt{218} \approx 59.059292 \]
\[ \sqrt{3488} = \sqrt{16 \times 218} = 4\sqrt{218} \]
\[ \sqrt{3488} \approx 59.059292 \]

What is the square root of 3488?

The square root of 3488 is 59.059292 (rounded to 6 decimal places). In simplest radical form it is 4√218.

Is 3488 a perfect square?

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

What is 3488 squared?

3488 × 3488 = 12166144.

What is the square root of 3488 rounded to 2 decimals?

59.06.