Square root of 3484

The square root of 3484 is 59.025418 (rounded to 6 decimal places). In simplest radical form it is 2√871.

Square root of 3484

Pick any whole number from 1 to 10,000.

\sqrt{3484} = 2\sqrt{871} \approx 59.025418

How to work it out

1
The square root of 3484 is the number that multiplied by itself gives 3484.
2
3484 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: 3484 = 4 × 871, so
$\sqrt{3484} = \sqrt{4 \times 871} = 2\sqrt{871}$
4
A calculator, or long division of digits, gives
$\sqrt{3484} \approx 59.025418$

LaTeX source of the formulas on this page

\[ \sqrt{3484} = 2\sqrt{871} \approx 59.025418 \]
\[ \sqrt{3484} = \sqrt{4 \times 871} = 2\sqrt{871} \]
\[ \sqrt{3484} \approx 59.025418 \]

What is the square root of 3484?

The square root of 3484 is 59.025418 (rounded to 6 decimal places). In simplest radical form it is 2√871.

Is 3484 a perfect square?

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

What is 3484 squared?

3484 × 3484 = 12138256.

What is the square root of 3484 rounded to 2 decimals?

59.03.