Square root of 1026

The square root of 1026 is 32.031235 (rounded to 6 decimal places). In simplest radical form it is 3√114.

Square root of 1026

Pick any whole number from 1 to 10,000.

\sqrt{1026} = 3\sqrt{114} \approx 32.031235

How to work it out

1
The square root of 1026 is the number that multiplied by itself gives 1026.
2
1026 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: 1026 = 9 × 114, so
$\sqrt{1026} = \sqrt{9 \times 114} = 3\sqrt{114}$
4
A calculator, or long division of digits, gives
$\sqrt{1026} \approx 32.031235$

LaTeX source of the formulas on this page

\[ \sqrt{1026} = 3\sqrt{114} \approx 32.031235 \]
\[ \sqrt{1026} = \sqrt{9 \times 114} = 3\sqrt{114} \]
\[ \sqrt{1026} \approx 32.031235 \]

What is the square root of 1026?

The square root of 1026 is 32.031235 (rounded to 6 decimal places). In simplest radical form it is 3√114.

Is 1026 a perfect square?

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

What is 1026 squared?

1026 × 1026 = 1052676.

What is the square root of 1026 rounded to 2 decimals?

32.03.