Square root of 4852

The square root of 4852 is 69.656299 (rounded to 6 decimal places). In simplest radical form it is 2√1213.

Square root of 4852

Pick any whole number from 1 to 10,000.

\sqrt{4852} = 2\sqrt{1213} \approx 69.656299

How to work it out

1
The square root of 4852 is the number that multiplied by itself gives 4852.
2
4852 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: 4852 = 4 × 1213, so
$\sqrt{4852} = \sqrt{4 \times 1213} = 2\sqrt{1213}$
4
A calculator, or long division of digits, gives
$\sqrt{4852} \approx 69.656299$

LaTeX source of the formulas on this page

\[ \sqrt{4852} = 2\sqrt{1213} \approx 69.656299 \]
\[ \sqrt{4852} = \sqrt{4 \times 1213} = 2\sqrt{1213} \]
\[ \sqrt{4852} \approx 69.656299 \]

What is the square root of 4852?

The square root of 4852 is 69.656299 (rounded to 6 decimal places). In simplest radical form it is 2√1213.

Is 4852 a perfect square?

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

What is 4852 squared?

4852 × 4852 = 23541904.

What is the square root of 4852 rounded to 2 decimals?

69.66.