Square root of 275

The square root of 275 is 16.583124 (rounded to 6 decimal places). In simplest radical form it is 5√11.

Square root of 275

Pick any whole number from 1 to 10,000.

\sqrt{275} = 5\sqrt{11} \approx 16.583124

How to work it out

1
The square root of 275 is the number that multiplied by itself gives 275.
2
275 is between the perfect squares 16² = 256 and 17² = 289, so its square root is between 16 and 17.
3
Pull out the biggest square factor: 275 = 25 × 11, so
$\sqrt{275} = \sqrt{25 \times 11} = 5\sqrt{11}$
4
A calculator, or long division of digits, gives
$\sqrt{275} \approx 16.583124$

LaTeX source of the formulas on this page

\[ \sqrt{275} = 5\sqrt{11} \approx 16.583124 \]
\[ \sqrt{275} = \sqrt{25 \times 11} = 5\sqrt{11} \]
\[ \sqrt{275} \approx 16.583124 \]

What is the square root of 275?

The square root of 275 is 16.583124 (rounded to 6 decimal places). In simplest radical form it is 5√11.

Is 275 a perfect square?

No. It lies between 16² = 256 and 17² = 289.

What is 275 squared?

275 × 275 = 75625.

What is the square root of 275 rounded to 2 decimals?

16.58.