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Square root of 4748

The square root of 4748 is 68.905733 (rounded to 6 decimal places). In simplest radical form it is 2√1187.

Square root of 4748

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 4748 is the number that multiplied by itself gives 4748.

  2. 2

    4748 is between the perfect squares 68² = 4624 and 69² = 4761, so its square root is between 68 and 69.

  3. 3

    Pull out the biggest square factor: 4748 = 4 Ɨ 1187, so

    4748=4Ɨ1187=21187\sqrt{4748} = \sqrt{4 \times 1187} = 2\sqrt{1187}
  4. 4

    A calculator, or long division of digits, gives

    4748ā‰ˆ68.905733\sqrt{4748} \approx 68.905733
LaTeX source of the formulas on this page
\[ \sqrt{4748} = 2\sqrt{1187} \approx 68.905733 \]
\[ \sqrt{4748} = \sqrt{4 \times 1187} = 2\sqrt{1187} \]
\[ \sqrt{4748} \approx 68.905733 \]

Squares around 4748

NumberSquared
674489
684624
694761
704900

Questions

What is the square root of 4748?

The square root of 4748 is 68.905733 (rounded to 6 decimal places). In simplest radical form it is 2√1187.

Is 4748 a perfect square?

No. It lies between 68² = 4624 and 69² = 4761.

What is 4748 squared?

4748 Ɨ 4748 = 22543504.

What is the square root of 4748 rounded to 2 decimals?

68.91.

Nearby numbers

More about 4748

    Square root of 4748: 68.905733 | WordGPT