Square root of 2668

The square root of 2668 is 51.652686 (rounded to 6 decimal places). In simplest radical form it is 2√667.

Square root of 2668

Pick any whole number from 1 to 10,000.

\sqrt{2668} = 2\sqrt{667} \approx 51.652686

How to work it out

1
The square root of 2668 is the number that multiplied by itself gives 2668.
2
2668 is between the perfect squares 51² = 2601 and 52² = 2704, so its square root is between 51 and 52.
3
Pull out the biggest square factor: 2668 = 4 × 667, so
$\sqrt{2668} = \sqrt{4 \times 667} = 2\sqrt{667}$
4
A calculator, or long division of digits, gives
$\sqrt{2668} \approx 51.652686$

LaTeX source of the formulas on this page

\[ \sqrt{2668} = 2\sqrt{667} \approx 51.652686 \]
\[ \sqrt{2668} = \sqrt{4 \times 667} = 2\sqrt{667} \]
\[ \sqrt{2668} \approx 51.652686 \]

What is the square root of 2668?

The square root of 2668 is 51.652686 (rounded to 6 decimal places). In simplest radical form it is 2√667.

Is 2668 a perfect square?

No. It lies between 51² = 2601 and 52² = 2704.

What is 2668 squared?

2668 × 2668 = 7118224.

What is the square root of 2668 rounded to 2 decimals?

51.65.