Square root of 164

The square root of 164 is 12.806248 (rounded to 6 decimal places). In simplest radical form it is 2√41.

Square root of 164

Pick any whole number from 1 to 10,000.

\sqrt{164} = 2\sqrt{41} \approx 12.806248

How to work it out

1
The square root of 164 is the number that multiplied by itself gives 164.
2
164 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: 164 = 4 × 41, so
$\sqrt{164} = \sqrt{4 \times 41} = 2\sqrt{41}$
4
A calculator, or long division of digits, gives
$\sqrt{164} \approx 12.806248$

LaTeX source of the formulas on this page

\[ \sqrt{164} = 2\sqrt{41} \approx 12.806248 \]
\[ \sqrt{164} = \sqrt{4 \times 41} = 2\sqrt{41} \]
\[ \sqrt{164} \approx 12.806248 \]

What is the square root of 164?

The square root of 164 is 12.806248 (rounded to 6 decimal places). In simplest radical form it is 2√41.

Is 164 a perfect square?

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

What is 164 squared?

164 × 164 = 26896.

What is the square root of 164 rounded to 2 decimals?

12.81.