Square root of 156

The square root of 156 is 12.489996 (rounded to 6 decimal places). In simplest radical form it is 2√39.

Square root of 156

Pick any whole number from 1 to 10,000.

\sqrt{156} = 2\sqrt{39} \approx 12.489996

How to work it out

1
The square root of 156 is the number that multiplied by itself gives 156.
2
156 is between the perfect squares 12² = 144 and 13² = 169, so its square root is between 12 and 13.
3
Pull out the biggest square factor: 156 = 4 × 39, so
$\sqrt{156} = \sqrt{4 \times 39} = 2\sqrt{39}$
4
A calculator, or long division of digits, gives
$\sqrt{156} \approx 12.489996$

LaTeX source of the formulas on this page

\[ \sqrt{156} = 2\sqrt{39} \approx 12.489996 \]
\[ \sqrt{156} = \sqrt{4 \times 39} = 2\sqrt{39} \]
\[ \sqrt{156} \approx 12.489996 \]

What is the square root of 156?

The square root of 156 is 12.489996 (rounded to 6 decimal places). In simplest radical form it is 2√39.

Is 156 a perfect square?

No. It lies between 12² = 144 and 13² = 169.

What is 156 squared?

156 × 156 = 24336.

What is the square root of 156 rounded to 2 decimals?

12.49.