Square root of 3582

The square root of 3582 is 59.849812 (rounded to 6 decimal places). In simplest radical form it is 3√398.

Square root of 3582

Pick any whole number from 1 to 10,000.

\sqrt{3582} = 3\sqrt{398} \approx 59.849812

How to work it out

1
The square root of 3582 is the number that multiplied by itself gives 3582.
2
3582 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: 3582 = 9 × 398, so
$\sqrt{3582} = \sqrt{9 \times 398} = 3\sqrt{398}$
4
A calculator, or long division of digits, gives
$\sqrt{3582} \approx 59.849812$

LaTeX source of the formulas on this page

\[ \sqrt{3582} = 3\sqrt{398} \approx 59.849812 \]
\[ \sqrt{3582} = \sqrt{9 \times 398} = 3\sqrt{398} \]
\[ \sqrt{3582} \approx 59.849812 \]

What is the square root of 3582?

The square root of 3582 is 59.849812 (rounded to 6 decimal places). In simplest radical form it is 3√398.

Is 3582 a perfect square?

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

What is 3582 squared?

3582 × 3582 = 12830724.

What is the square root of 3582 rounded to 2 decimals?

59.85.