Square root of 160

The square root of 160 is 12.649111 (rounded to 6 decimal places). In simplest radical form it is 4√10.

Square root of 160

Pick any whole number from 1 to 10,000.

\sqrt{160} = 4\sqrt{10} \approx 12.649111

How to work it out

1
The square root of 160 is the number that multiplied by itself gives 160.
2
160 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: 160 = 16 × 10, so
$\sqrt{160} = \sqrt{16 \times 10} = 4\sqrt{10}$
4
A calculator, or long division of digits, gives
$\sqrt{160} \approx 12.649111$

LaTeX source of the formulas on this page

\[ \sqrt{160} = 4\sqrt{10} \approx 12.649111 \]
\[ \sqrt{160} = \sqrt{16 \times 10} = 4\sqrt{10} \]
\[ \sqrt{160} \approx 12.649111 \]

What is the square root of 160?

The square root of 160 is 12.649111 (rounded to 6 decimal places). In simplest radical form it is 4√10.

Is 160 a perfect square?

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

What is 160 squared?

160 × 160 = 25600.

What is the square root of 160 rounded to 2 decimals?

12.65.