Square root of 2358

The square root of 2358 is 48.559242 (rounded to 6 decimal places). In simplest radical form it is 3√262.

Square root of 2358

Pick any whole number from 1 to 10,000.

\sqrt{2358} = 3\sqrt{262} \approx 48.559242

How to work it out

1
The square root of 2358 is the number that multiplied by itself gives 2358.
2
2358 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: 2358 = 9 × 262, so
$\sqrt{2358} = \sqrt{9 \times 262} = 3\sqrt{262}$
4
A calculator, or long division of digits, gives
$\sqrt{2358} \approx 48.559242$

LaTeX source of the formulas on this page

\[ \sqrt{2358} = 3\sqrt{262} \approx 48.559242 \]
\[ \sqrt{2358} = \sqrt{9 \times 262} = 3\sqrt{262} \]
\[ \sqrt{2358} \approx 48.559242 \]

What is the square root of 2358?

The square root of 2358 is 48.559242 (rounded to 6 decimal places). In simplest radical form it is 3√262.

Is 2358 a perfect square?

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

What is 2358 squared?

2358 × 2358 = 5560164.

What is the square root of 2358 rounded to 2 decimals?

48.56.