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Square root of 1020

The square root of 1020 is 31.937439 (rounded to 6 decimal places). In simplest radical form it is 2√255.

Square root of 1020

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 1020 is the number that multiplied by itself gives 1020.

  2. 2

    1020 is between the perfect squares 31² = 961 and 32² = 1024, so its square root is between 31 and 32.

  3. 3

    Pull out the biggest square factor: 1020 = 4 Ɨ 255, so

    1020=4Ɨ255=2255\sqrt{1020} = \sqrt{4 \times 255} = 2\sqrt{255}
  4. 4

    A calculator, or long division of digits, gives

    1020ā‰ˆ31.937439\sqrt{1020} \approx 31.937439
LaTeX source of the formulas on this page
\[ \sqrt{1020} = 2\sqrt{255} \approx 31.937439 \]
\[ \sqrt{1020} = \sqrt{4 \times 255} = 2\sqrt{255} \]
\[ \sqrt{1020} \approx 31.937439 \]

Squares around 1020

NumberSquared
30900
31961
321024
331089

Questions

What is the square root of 1020?

The square root of 1020 is 31.937439 (rounded to 6 decimal places). In simplest radical form it is 2√255.

Is 1020 a perfect square?

No. It lies between 31² = 961 and 32² = 1024.

What is 1020 squared?

1020 Ɨ 1020 = 1040400.

What is the square root of 1020 rounded to 2 decimals?

31.94.

Nearby numbers

More about 1020

    Square root of 1020: 31.937439 | WordGPT