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Square root of 5048

The square root of 5048 is 71.049279 (rounded to 6 decimal places). In simplest radical form it is 2√1262.

Square root of 5048

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 5048 is the number that multiplied by itself gives 5048.

  2. 2

    5048 is between the perfect squares 71² = 5041 and 72² = 5184, so its square root is between 71 and 72.

  3. 3

    Pull out the biggest square factor: 5048 = 4 Ɨ 1262, so

    5048=4Ɨ1262=21262\sqrt{5048} = \sqrt{4 \times 1262} = 2\sqrt{1262}
  4. 4

    A calculator, or long division of digits, gives

    5048ā‰ˆ71.049279\sqrt{5048} \approx 71.049279
LaTeX source of the formulas on this page
\[ \sqrt{5048} = 2\sqrt{1262} \approx 71.049279 \]
\[ \sqrt{5048} = \sqrt{4 \times 1262} = 2\sqrt{1262} \]
\[ \sqrt{5048} \approx 71.049279 \]

Squares around 5048

NumberSquared
704900
715041
725184
735329

Questions

What is the square root of 5048?

The square root of 5048 is 71.049279 (rounded to 6 decimal places). In simplest radical form it is 2√1262.

Is 5048 a perfect square?

No. It lies between 71² = 5041 and 72² = 5184.

What is 5048 squared?

5048 Ɨ 5048 = 25482304.

What is the square root of 5048 rounded to 2 decimals?

71.05.

Nearby numbers

More about 5048

    Square root of 5048: 71.049279 | WordGPT