Square root of 1204

The square root of 1204 is 34.698703 (rounded to 6 decimal places). In simplest radical form it is 2√301.

Square root of 1204

Pick any whole number from 1 to 10,000.

\sqrt{1204} = 2\sqrt{301} \approx 34.698703

How to work it out

1
The square root of 1204 is the number that multiplied by itself gives 1204.
2
1204 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: 1204 = 4 × 301, so
$\sqrt{1204} = \sqrt{4 \times 301} = 2\sqrt{301}$
4
A calculator, or long division of digits, gives
$\sqrt{1204} \approx 34.698703$

LaTeX source of the formulas on this page

\[ \sqrt{1204} = 2\sqrt{301} \approx 34.698703 \]
\[ \sqrt{1204} = \sqrt{4 \times 301} = 2\sqrt{301} \]
\[ \sqrt{1204} \approx 34.698703 \]

What is the square root of 1204?

The square root of 1204 is 34.698703 (rounded to 6 decimal places). In simplest radical form it is 2√301.

Is 1204 a perfect square?

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

What is 1204 squared?

1204 × 1204 = 1449616.

What is the square root of 1204 rounded to 2 decimals?

34.70.