Square root of 1197

The square root of 1197 is 34.597688 (rounded to 6 decimal places). In simplest radical form it is 3√133.

Square root of 1197

Pick any whole number from 1 to 10,000.

\sqrt{1197} = 3\sqrt{133} \approx 34.597688

How to work it out

1
The square root of 1197 is the number that multiplied by itself gives 1197.
2
1197 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: 1197 = 9 × 133, so
$\sqrt{1197} = \sqrt{9 \times 133} = 3\sqrt{133}$
4
A calculator, or long division of digits, gives
$\sqrt{1197} \approx 34.597688$

LaTeX source of the formulas on this page

\[ \sqrt{1197} = 3\sqrt{133} \approx 34.597688 \]
\[ \sqrt{1197} = \sqrt{9 \times 133} = 3\sqrt{133} \]
\[ \sqrt{1197} \approx 34.597688 \]

What is the square root of 1197?

The square root of 1197 is 34.597688 (rounded to 6 decimal places). In simplest radical form it is 3√133.

Is 1197 a perfect square?

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

What is 1197 squared?

1197 × 1197 = 1432809.

What is the square root of 1197 rounded to 2 decimals?

34.60.