Square root of 2400

The square root of 2400 is 48.989795 (rounded to 6 decimal places). In simplest radical form it is 20√6.

Square root of 2400

Pick any whole number from 1 to 10,000.

\sqrt{2400} = 20\sqrt{6} \approx 48.989795

How to work it out

1
The square root of 2400 is the number that multiplied by itself gives 2400.
2
2400 is between the perfect squares 48² = 2304 and 49² = 2401, so its square root is between 48 and 49.
3
Pull out the biggest square factor: 2400 = 400 × 6, so
$\sqrt{2400} = \sqrt{400 \times 6} = 20\sqrt{6}$
4
A calculator, or long division of digits, gives
$\sqrt{2400} \approx 48.989795$

LaTeX source of the formulas on this page

\[ \sqrt{2400} = 20\sqrt{6} \approx 48.989795 \]
\[ \sqrt{2400} = \sqrt{400 \times 6} = 20\sqrt{6} \]
\[ \sqrt{2400} \approx 48.989795 \]

What is the square root of 2400?

The square root of 2400 is 48.989795 (rounded to 6 decimal places). In simplest radical form it is 20√6.

Is 2400 a perfect square?

No. It lies between 48² = 2304 and 49² = 2401.

What is 2400 squared?

2400 × 2400 = 5760000.

What is the square root of 2400 rounded to 2 decimals?

48.99.