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Square root of 6848

The square root of 6848 is 82.752643 (rounded to 6 decimal places). In simplest radical form it is 8√107.

Square root of 6848

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 6848 is the number that multiplied by itself gives 6848.

  2. 2

    6848 is between the perfect squares 82² = 6724 and 83² = 6889, so its square root is between 82 and 83.

  3. 3

    Pull out the biggest square factor: 6848 = 64 Ɨ 107, so

    6848=64Ɨ107=8107\sqrt{6848} = \sqrt{64 \times 107} = 8\sqrt{107}
  4. 4

    A calculator, or long division of digits, gives

    6848ā‰ˆ82.752643\sqrt{6848} \approx 82.752643
LaTeX source of the formulas on this page
\[ \sqrt{6848} = 8\sqrt{107} \approx 82.752643 \]
\[ \sqrt{6848} = \sqrt{64 \times 107} = 8\sqrt{107} \]
\[ \sqrt{6848} \approx 82.752643 \]

Squares around 6848

NumberSquared
816561
826724
836889
847056

Questions

What is the square root of 6848?

The square root of 6848 is 82.752643 (rounded to 6 decimal places). In simplest radical form it is 8√107.

Is 6848 a perfect square?

No. It lies between 82² = 6724 and 83² = 6889.

What is 6848 squared?

6848 Ɨ 6848 = 46895104.

What is the square root of 6848 rounded to 2 decimals?

82.75.

Nearby numbers

More about 6848

    Square root of 6848: 82.752643 | WordGPT