Square root of 1200

The square root of 1200 is 34.641016 (rounded to 6 decimal places). In simplest radical form it is 20√3.

Square root of 1200

Pick any whole number from 1 to 10,000.

\sqrt{1200} = 20\sqrt{3} \approx 34.641016

How to work it out

1
The square root of 1200 is the number that multiplied by itself gives 1200.
2
1200 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: 1200 = 400 × 3, so
$\sqrt{1200} = \sqrt{400 \times 3} = 20\sqrt{3}$
4
A calculator, or long division of digits, gives
$\sqrt{1200} \approx 34.641016$

LaTeX source of the formulas on this page

\[ \sqrt{1200} = 20\sqrt{3} \approx 34.641016 \]
\[ \sqrt{1200} = \sqrt{400 \times 3} = 20\sqrt{3} \]
\[ \sqrt{1200} \approx 34.641016 \]

What is the square root of 1200?

The square root of 1200 is 34.641016 (rounded to 6 decimal places). In simplest radical form it is 20√3.

Is 1200 a perfect square?

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

What is 1200 squared?

1200 × 1200 = 1440000.

What is the square root of 1200 rounded to 2 decimals?

34.64.