Square root of 660

The square root of 660 is 25.690465 (rounded to 6 decimal places). In simplest radical form it is 2√165.

Square root of 660

Pick any whole number from 1 to 10,000.

\sqrt{660} = 2\sqrt{165} \approx 25.690465

How to work it out

1
The square root of 660 is the number that multiplied by itself gives 660.
2
660 is between the perfect squares 25² = 625 and 26² = 676, so its square root is between 25 and 26.
3
Pull out the biggest square factor: 660 = 4 × 165, so
$\sqrt{660} = \sqrt{4 \times 165} = 2\sqrt{165}$
4
A calculator, or long division of digits, gives
$\sqrt{660} \approx 25.690465$

LaTeX source of the formulas on this page

\[ \sqrt{660} = 2\sqrt{165} \approx 25.690465 \]
\[ \sqrt{660} = \sqrt{4 \times 165} = 2\sqrt{165} \]
\[ \sqrt{660} \approx 25.690465 \]

What is the square root of 660?

The square root of 660 is 25.690465 (rounded to 6 decimal places). In simplest radical form it is 2√165.

Is 660 a perfect square?

No. It lies between 25² = 625 and 26² = 676.

What is 660 squared?

660 × 660 = 435600.

What is the square root of 660 rounded to 2 decimals?

25.69.