Square root of 1172

The square root of 1172 is 34.234486 (rounded to 6 decimal places). In simplest radical form it is 2√293.

Square root of 1172

Pick any whole number from 1 to 10,000.

\sqrt{1172} = 2\sqrt{293} \approx 34.234486

How to work it out

1
The square root of 1172 is the number that multiplied by itself gives 1172.
2
1172 is between the perfect squares 34² = 1156 and 35² = 1225, so its square root is between 34 and 35.
3
Pull out the biggest square factor: 1172 = 4 × 293, so
$\sqrt{1172} = \sqrt{4 \times 293} = 2\sqrt{293}$
4
A calculator, or long division of digits, gives
$\sqrt{1172} \approx 34.234486$

LaTeX source of the formulas on this page

\[ \sqrt{1172} = 2\sqrt{293} \approx 34.234486 \]
\[ \sqrt{1172} = \sqrt{4 \times 293} = 2\sqrt{293} \]
\[ \sqrt{1172} \approx 34.234486 \]

What is the square root of 1172?

The square root of 1172 is 34.234486 (rounded to 6 decimal places). In simplest radical form it is 2√293.

Is 1172 a perfect square?

No. It lies between 34² = 1156 and 35² = 1225.

What is 1172 squared?

1172 × 1172 = 1373584.

What is the square root of 1172 rounded to 2 decimals?

34.23.