Square root of 4842

The square root of 4842 is 69.584481 (rounded to 6 decimal places). In simplest radical form it is 3√538.

Square root of 4842

Pick any whole number from 1 to 10,000.

\sqrt{4842} = 3\sqrt{538} \approx 69.584481

How to work it out

1
The square root of 4842 is the number that multiplied by itself gives 4842.
2
4842 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: 4842 = 9 × 538, so
$\sqrt{4842} = \sqrt{9 \times 538} = 3\sqrt{538}$
4
A calculator, or long division of digits, gives
$\sqrt{4842} \approx 69.584481$

LaTeX source of the formulas on this page

\[ \sqrt{4842} = 3\sqrt{538} \approx 69.584481 \]
\[ \sqrt{4842} = \sqrt{9 \times 538} = 3\sqrt{538} \]
\[ \sqrt{4842} \approx 69.584481 \]

What is the square root of 4842?

The square root of 4842 is 69.584481 (rounded to 6 decimal places). In simplest radical form it is 3√538.

Is 4842 a perfect square?

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

What is 4842 squared?

4842 × 4842 = 23444964.

What is the square root of 4842 rounded to 2 decimals?

69.58.