Square root of 1800

The square root of 1800 is 42.426407 (rounded to 6 decimal places). In simplest radical form it is 30√2.

Square root of 1800

Pick any whole number from 1 to 10,000.

\sqrt{1800} = 30\sqrt{2} \approx 42.426407

How to work it out

1
The square root of 1800 is the number that multiplied by itself gives 1800.
2
1800 is between the perfect squares 42² = 1764 and 43² = 1849, so its square root is between 42 and 43.
3
Pull out the biggest square factor: 1800 = 900 × 2, so
$\sqrt{1800} = \sqrt{900 \times 2} = 30\sqrt{2}$
4
A calculator, or long division of digits, gives
$\sqrt{1800} \approx 42.426407$

LaTeX source of the formulas on this page

\[ \sqrt{1800} = 30\sqrt{2} \approx 42.426407 \]
\[ \sqrt{1800} = \sqrt{900 \times 2} = 30\sqrt{2} \]
\[ \sqrt{1800} \approx 42.426407 \]

What is the square root of 1800?

The square root of 1800 is 42.426407 (rounded to 6 decimal places). In simplest radical form it is 30√2.

Is 1800 a perfect square?

No. It lies between 42² = 1764 and 43² = 1849.

What is 1800 squared?

1800 × 1800 = 3240000.

What is the square root of 1800 rounded to 2 decimals?

42.43.