Square root of 176

The square root of 176 is 13.266499 (rounded to 6 decimal places). In simplest radical form it is 4√11.

Square root of 176

Pick any whole number from 1 to 10,000.

\sqrt{176} = 4\sqrt{11} \approx 13.266499

How to work it out

1
The square root of 176 is the number that multiplied by itself gives 176.
2
176 is between the perfect squares 13² = 169 and 14² = 196, so its square root is between 13 and 14.
3
Pull out the biggest square factor: 176 = 16 × 11, so
$\sqrt{176} = \sqrt{16 \times 11} = 4\sqrt{11}$
4
A calculator, or long division of digits, gives
$\sqrt{176} \approx 13.266499$

LaTeX source of the formulas on this page

\[ \sqrt{176} = 4\sqrt{11} \approx 13.266499 \]
\[ \sqrt{176} = \sqrt{16 \times 11} = 4\sqrt{11} \]
\[ \sqrt{176} \approx 13.266499 \]

What is the square root of 176?

The square root of 176 is 13.266499 (rounded to 6 decimal places). In simplest radical form it is 4√11.

Is 176 a perfect square?

No. It lies between 13² = 169 and 14² = 196.

What is 176 squared?

176 × 176 = 30976.

What is the square root of 176 rounded to 2 decimals?

13.27.