Square root of 1666

The square root of 1666 is 40.816663 (rounded to 6 decimal places). In simplest radical form it is 7√34.

Square root of 1666

Pick any whole number from 1 to 10,000.

\sqrt{1666} = 7\sqrt{34} \approx 40.816663

How to work it out

1
The square root of 1666 is the number that multiplied by itself gives 1666.
2
1666 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: 1666 = 49 × 34, so
$\sqrt{1666} = \sqrt{49 \times 34} = 7\sqrt{34}$
4
A calculator, or long division of digits, gives
$\sqrt{1666} \approx 40.816663$

LaTeX source of the formulas on this page

\[ \sqrt{1666} = 7\sqrt{34} \approx 40.816663 \]
\[ \sqrt{1666} = \sqrt{49 \times 34} = 7\sqrt{34} \]
\[ \sqrt{1666} \approx 40.816663 \]

What is the square root of 1666?

The square root of 1666 is 40.816663 (rounded to 6 decimal places). In simplest radical form it is 7√34.

Is 1666 a perfect square?

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

What is 1666 squared?

1666 × 1666 = 2775556.

What is the square root of 1666 rounded to 2 decimals?

40.82.