Square root of 3200

The square root of 3200 is 56.568542 (rounded to 6 decimal places). In simplest radical form it is 40√2.

Square root of 3200

Pick any whole number from 1 to 10,000.

\sqrt{3200} = 40\sqrt{2} \approx 56.568542

How to work it out

1
The square root of 3200 is the number that multiplied by itself gives 3200.
2
3200 is between the perfect squares 56² = 3136 and 57² = 3249, so its square root is between 56 and 57.
3
Pull out the biggest square factor: 3200 = 1600 × 2, so
$\sqrt{3200} = \sqrt{1600 \times 2} = 40\sqrt{2}$
4
A calculator, or long division of digits, gives
$\sqrt{3200} \approx 56.568542$

LaTeX source of the formulas on this page

\[ \sqrt{3200} = 40\sqrt{2} \approx 56.568542 \]
\[ \sqrt{3200} = \sqrt{1600 \times 2} = 40\sqrt{2} \]
\[ \sqrt{3200} \approx 56.568542 \]

What is the square root of 3200?

The square root of 3200 is 56.568542 (rounded to 6 decimal places). In simplest radical form it is 40√2.

Is 3200 a perfect square?

No. It lies between 56² = 3136 and 57² = 3249.

What is 3200 squared?

3200 × 3200 = 10240000.

What is the square root of 3200 rounded to 2 decimals?

56.57.