Square root of 1440

The square root of 1440 is 37.947332 (rounded to 6 decimal places). In simplest radical form it is 12√10.

Square root of 1440

Pick any whole number from 1 to 10,000.

\sqrt{1440} = 12\sqrt{10} \approx 37.947332

How to work it out

1
The square root of 1440 is the number that multiplied by itself gives 1440.
2
1440 is between the perfect squares 37² = 1369 and 38² = 1444, so its square root is between 37 and 38.
3
Pull out the biggest square factor: 1440 = 144 × 10, so
$\sqrt{1440} = \sqrt{144 \times 10} = 12\sqrt{10}$
4
A calculator, or long division of digits, gives
$\sqrt{1440} \approx 37.947332$

LaTeX source of the formulas on this page

\[ \sqrt{1440} = 12\sqrt{10} \approx 37.947332 \]
\[ \sqrt{1440} = \sqrt{144 \times 10} = 12\sqrt{10} \]
\[ \sqrt{1440} \approx 37.947332 \]

What is the square root of 1440?

The square root of 1440 is 37.947332 (rounded to 6 decimal places). In simplest radical form it is 12√10.

Is 1440 a perfect square?

No. It lies between 37² = 1369 and 38² = 1444.

What is 1440 squared?

1440 × 1440 = 2073600.

What is the square root of 1440 rounded to 2 decimals?

37.95.