Square root of 280

The square root of 280 is 16.733201 (rounded to 6 decimal places). In simplest radical form it is 2√70.

Square root of 280

Pick any whole number from 1 to 10,000.

\sqrt{280} = 2\sqrt{70} \approx 16.733201

How to work it out

1
The square root of 280 is the number that multiplied by itself gives 280.
2
280 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: 280 = 4 × 70, so
$\sqrt{280} = \sqrt{4 \times 70} = 2\sqrt{70}$
4
A calculator, or long division of digits, gives
$\sqrt{280} \approx 16.733201$

LaTeX source of the formulas on this page

\[ \sqrt{280} = 2\sqrt{70} \approx 16.733201 \]
\[ \sqrt{280} = \sqrt{4 \times 70} = 2\sqrt{70} \]
\[ \sqrt{280} \approx 16.733201 \]

What is the square root of 280?

The square root of 280 is 16.733201 (rounded to 6 decimal places). In simplest radical form it is 2√70.

Is 280 a perfect square?

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

What is 280 squared?

280 × 280 = 78400.

What is the square root of 280 rounded to 2 decimals?

16.73.