Square root of 1460

The square root of 1460 is 38.209946 (rounded to 6 decimal places). In simplest radical form it is 2√365.

Square root of 1460

Pick any whole number from 1 to 10,000.

\sqrt{1460} = 2\sqrt{365} \approx 38.209946

How to work it out

1
The square root of 1460 is the number that multiplied by itself gives 1460.
2
1460 is between the perfect squares 38² = 1444 and 39² = 1521, so its square root is between 38 and 39.
3
Pull out the biggest square factor: 1460 = 4 × 365, so
$\sqrt{1460} = \sqrt{4 \times 365} = 2\sqrt{365}$
4
A calculator, or long division of digits, gives
$\sqrt{1460} \approx 38.209946$

LaTeX source of the formulas on this page

\[ \sqrt{1460} = 2\sqrt{365} \approx 38.209946 \]
\[ \sqrt{1460} = \sqrt{4 \times 365} = 2\sqrt{365} \]
\[ \sqrt{1460} \approx 38.209946 \]

What is the square root of 1460?

The square root of 1460 is 38.209946 (rounded to 6 decimal places). In simplest radical form it is 2√365.

Is 1460 a perfect square?

No. It lies between 38² = 1444 and 39² = 1521.

What is 1460 squared?

1460 × 1460 = 2131600.

What is the square root of 1460 rounded to 2 decimals?

38.21.