Square root of 5985

The square root of 5985 is 77.362782 (rounded to 6 decimal places). In simplest radical form it is 3√665.

Square root of 5985

Pick any whole number from 1 to 10,000.

\sqrt{5985} = 3\sqrt{665} \approx 77.362782

How to work it out

1
The square root of 5985 is the number that multiplied by itself gives 5985.
2
5985 is between the perfect squares 77² = 5929 and 78² = 6084, so its square root is between 77 and 78.
3
Pull out the biggest square factor: 5985 = 9 × 665, so
$\sqrt{5985} = \sqrt{9 \times 665} = 3\sqrt{665}$
4
A calculator, or long division of digits, gives
$\sqrt{5985} \approx 77.362782$

LaTeX source of the formulas on this page

\[ \sqrt{5985} = 3\sqrt{665} \approx 77.362782 \]
\[ \sqrt{5985} = \sqrt{9 \times 665} = 3\sqrt{665} \]
\[ \sqrt{5985} \approx 77.362782 \]

What is the square root of 5985?

The square root of 5985 is 77.362782 (rounded to 6 decimal places). In simplest radical form it is 3√665.

Is 5985 a perfect square?

No. It lies between 77² = 5929 and 78² = 6084.

What is 5985 squared?

5985 × 5985 = 35820225.

What is the square root of 5985 rounded to 2 decimals?

77.36.