Square root of 2058

The square root of 2058 is 45.365185 (rounded to 6 decimal places). In simplest radical form it is 7√42.

Square root of 2058

Pick any whole number from 1 to 10,000.

\sqrt{2058} = 7\sqrt{42} \approx 45.365185

How to work it out

1
The square root of 2058 is the number that multiplied by itself gives 2058.
2
2058 is between the perfect squares 45² = 2025 and 46² = 2116, so its square root is between 45 and 46.
3
Pull out the biggest square factor: 2058 = 49 × 42, so
$\sqrt{2058} = \sqrt{49 \times 42} = 7\sqrt{42}$
4
A calculator, or long division of digits, gives
$\sqrt{2058} \approx 45.365185$

LaTeX source of the formulas on this page

\[ \sqrt{2058} = 7\sqrt{42} \approx 45.365185 \]
\[ \sqrt{2058} = \sqrt{49 \times 42} = 7\sqrt{42} \]
\[ \sqrt{2058} \approx 45.365185 \]

What is the square root of 2058?

The square root of 2058 is 45.365185 (rounded to 6 decimal places). In simplest radical form it is 7√42.

Is 2058 a perfect square?

No. It lies between 45² = 2025 and 46² = 2116.

What is 2058 squared?

2058 × 2058 = 4235364.

What is the square root of 2058 rounded to 2 decimals?

45.37.