Square root of 172

The square root of 172 is 13.114877 (rounded to 6 decimal places). In simplest radical form it is 2√43.

Square root of 172

Pick any whole number from 1 to 10,000.

\sqrt{172} = 2\sqrt{43} \approx 13.114877

How to work it out

1
The square root of 172 is the number that multiplied by itself gives 172.
2
172 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: 172 = 4 × 43, so
$\sqrt{172} = \sqrt{4 \times 43} = 2\sqrt{43}$
4
A calculator, or long division of digits, gives
$\sqrt{172} \approx 13.114877$

LaTeX source of the formulas on this page

\[ \sqrt{172} = 2\sqrt{43} \approx 13.114877 \]
\[ \sqrt{172} = \sqrt{4 \times 43} = 2\sqrt{43} \]
\[ \sqrt{172} \approx 13.114877 \]

What is the square root of 172?

The square root of 172 is 13.114877 (rounded to 6 decimal places). In simplest radical form it is 2√43.

Is 172 a perfect square?

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

What is 172 squared?

172 × 172 = 29584.

What is the square root of 172 rounded to 2 decimals?

13.11.