Square root of 848

The square root of 848 is 29.12044 (rounded to 6 decimal places). In simplest radical form it is 4√53.

Square root of 848

Pick any whole number from 1 to 10,000.

\sqrt{848} = 4\sqrt{53} \approx 29.12044

How to work it out

1
The square root of 848 is the number that multiplied by itself gives 848.
2
848 is between the perfect squares 29² = 841 and 30² = 900, so its square root is between 29 and 30.
3
Pull out the biggest square factor: 848 = 16 × 53, so
$\sqrt{848} = \sqrt{16 \times 53} = 4\sqrt{53}$
4
A calculator, or long division of digits, gives
$\sqrt{848} \approx 29.12044$

LaTeX source of the formulas on this page

\[ \sqrt{848} = 4\sqrt{53} \approx 29.12044 \]
\[ \sqrt{848} = \sqrt{16 \times 53} = 4\sqrt{53} \]
\[ \sqrt{848} \approx 29.12044 \]

What is the square root of 848?

The square root of 848 is 29.12044 (rounded to 6 decimal places). In simplest radical form it is 4√53.

Is 848 a perfect square?

No. It lies between 29² = 841 and 30² = 900.

What is 848 squared?

848 × 848 = 719104.

What is the square root of 848 rounded to 2 decimals?

29.12.