Square root of 1058

The square root of 1058 is 32.526912 (rounded to 6 decimal places). In simplest radical form it is 23√2.

Square root of 1058

Pick any whole number from 1 to 10,000.

\sqrt{1058} = 23\sqrt{2} \approx 32.526912

How to work it out

1
The square root of 1058 is the number that multiplied by itself gives 1058.
2
1058 is between the perfect squares 32² = 1024 and 33² = 1089, so its square root is between 32 and 33.
3
Pull out the biggest square factor: 1058 = 529 × 2, so
$\sqrt{1058} = \sqrt{529 \times 2} = 23\sqrt{2}$
4
A calculator, or long division of digits, gives
$\sqrt{1058} \approx 32.526912$

LaTeX source of the formulas on this page

\[ \sqrt{1058} = 23\sqrt{2} \approx 32.526912 \]
\[ \sqrt{1058} = \sqrt{529 \times 2} = 23\sqrt{2} \]
\[ \sqrt{1058} \approx 32.526912 \]

What is the square root of 1058?

The square root of 1058 is 32.526912 (rounded to 6 decimal places). In simplest radical form it is 23√2.

Is 1058 a perfect square?

No. It lies between 32² = 1024 and 33² = 1089.

What is 1058 squared?

1058 × 1058 = 1119364.

What is the square root of 1058 rounded to 2 decimals?

32.53.