Square root of 136

The square root of 136 is 11.661904 (rounded to 6 decimal places). In simplest radical form it is 2√34.

Square root of 136

Pick any whole number from 1 to 10,000.

\sqrt{136} = 2\sqrt{34} \approx 11.661904

How to work it out

1
The square root of 136 is the number that multiplied by itself gives 136.
2
136 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: 136 = 4 × 34, so
$\sqrt{136} = \sqrt{4 \times 34} = 2\sqrt{34}$
4
A calculator, or long division of digits, gives
$\sqrt{136} \approx 11.661904$

LaTeX source of the formulas on this page

\[ \sqrt{136} = 2\sqrt{34} \approx 11.661904 \]
\[ \sqrt{136} = \sqrt{4 \times 34} = 2\sqrt{34} \]
\[ \sqrt{136} \approx 11.661904 \]

What is the square root of 136?

The square root of 136 is 11.661904 (rounded to 6 decimal places). In simplest radical form it is 2√34.

Is 136 a perfect square?

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

What is 136 squared?

136 × 136 = 18496.

What is the square root of 136 rounded to 2 decimals?

11.66.