Square root of 4800

The square root of 4800 is 69.282032 (rounded to 6 decimal places). In simplest radical form it is 40√3.

Square root of 4800

Pick any whole number from 1 to 10,000.

\sqrt{4800} = 40\sqrt{3} \approx 69.282032

How to work it out

1
The square root of 4800 is the number that multiplied by itself gives 4800.
2
4800 is between the perfect squares 69² = 4761 and 70² = 4900, so its square root is between 69 and 70.
3
Pull out the biggest square factor: 4800 = 1600 × 3, so
$\sqrt{4800} = \sqrt{1600 \times 3} = 40\sqrt{3}$
4
A calculator, or long division of digits, gives
$\sqrt{4800} \approx 69.282032$

LaTeX source of the formulas on this page

\[ \sqrt{4800} = 40\sqrt{3} \approx 69.282032 \]
\[ \sqrt{4800} = \sqrt{1600 \times 3} = 40\sqrt{3} \]
\[ \sqrt{4800} \approx 69.282032 \]

What is the square root of 4800?

The square root of 4800 is 69.282032 (rounded to 6 decimal places). In simplest radical form it is 40√3.

Is 4800 a perfect square?

No. It lies between 69² = 4761 and 70² = 4900.

What is 4800 squared?

4800 × 4800 = 23040000.

What is the square root of 4800 rounded to 2 decimals?

69.28.