Square root of 140

The square root of 140 is 11.83216 (rounded to 6 decimal places). In simplest radical form it is 2√35.

Square root of 140

Pick any whole number from 1 to 10,000.

\sqrt{140} = 2\sqrt{35} \approx 11.83216

How to work it out

1
The square root of 140 is the number that multiplied by itself gives 140.
2
140 is between the perfect squares 11² = 121 and 12² = 144, so its square root is between 11 and 12.
3
Pull out the biggest square factor: 140 = 4 × 35, so
$\sqrt{140} = \sqrt{4 \times 35} = 2\sqrt{35}$
4
A calculator, or long division of digits, gives
$\sqrt{140} \approx 11.83216$

LaTeX source of the formulas on this page

\[ \sqrt{140} = 2\sqrt{35} \approx 11.83216 \]
\[ \sqrt{140} = \sqrt{4 \times 35} = 2\sqrt{35} \]
\[ \sqrt{140} \approx 11.83216 \]

What is the square root of 140?

The square root of 140 is 11.83216 (rounded to 6 decimal places). In simplest radical form it is 2√35.

Is 140 a perfect square?

No. It lies between 11² = 121 and 12² = 144.

What is 140 squared?

140 × 140 = 19600.

What is the square root of 140 rounded to 2 decimals?

11.83.