Square root of 1665

The square root of 1665 is 40.804412 (rounded to 6 decimal places). In simplest radical form it is 3√185.

Square root of 1665

Pick any whole number from 1 to 10,000.

\sqrt{1665} = 3\sqrt{185} \approx 40.804412

How to work it out

1
The square root of 1665 is the number that multiplied by itself gives 1665.
2
1665 is between the perfect squares 40² = 1600 and 41² = 1681, so its square root is between 40 and 41.
3
Pull out the biggest square factor: 1665 = 9 × 185, so
$\sqrt{1665} = \sqrt{9 \times 185} = 3\sqrt{185}$
4
A calculator, or long division of digits, gives
$\sqrt{1665} \approx 40.804412$

LaTeX source of the formulas on this page

\[ \sqrt{1665} = 3\sqrt{185} \approx 40.804412 \]
\[ \sqrt{1665} = \sqrt{9 \times 185} = 3\sqrt{185} \]
\[ \sqrt{1665} \approx 40.804412 \]

What is the square root of 1665?

The square root of 1665 is 40.804412 (rounded to 6 decimal places). In simplest radical form it is 3√185.

Is 1665 a perfect square?

No. It lies between 40² = 1600 and 41² = 1681.

What is 1665 squared?

1665 × 1665 = 2772225.

What is the square root of 1665 rounded to 2 decimals?

40.80.