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Square root of 1048

The square root of 1048 is 32.372828 (rounded to 6 decimal places). In simplest radical form it is 2√262.

Square root of 1048

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 1048 is the number that multiplied by itself gives 1048.

  2. 2

    1048 is between the perfect squares 32² = 1024 and 33² = 1089, so its square root is between 32 and 33.

  3. 3

    Pull out the biggest square factor: 1048 = 4 Ɨ 262, so

    1048=4Ɨ262=2262\sqrt{1048} = \sqrt{4 \times 262} = 2\sqrt{262}
  4. 4

    A calculator, or long division of digits, gives

    1048ā‰ˆ32.372828\sqrt{1048} \approx 32.372828
LaTeX source of the formulas on this page
\[ \sqrt{1048} = 2\sqrt{262} \approx 32.372828 \]
\[ \sqrt{1048} = \sqrt{4 \times 262} = 2\sqrt{262} \]
\[ \sqrt{1048} \approx 32.372828 \]

Squares around 1048

NumberSquared
31961
321024
331089
341156

Questions

What is the square root of 1048?

The square root of 1048 is 32.372828 (rounded to 6 decimal places). In simplest radical form it is 2√262.

Is 1048 a perfect square?

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

What is 1048 squared?

1048 Ɨ 1048 = 1098304.

What is the square root of 1048 rounded to 2 decimals?

32.37.

Nearby numbers

More about 1048

    Square root of 1048: 32.372828 | WordGPT