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Square root of 6752

The square root of 6752 is 82.170554 (rounded to 6 decimal places). In simplest radical form it is 4√422.

Square root of 6752

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 6752 is the number that multiplied by itself gives 6752.

  2. 2

    6752 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: 6752 = 16 Ɨ 422, so

    6752=16Ɨ422=4422\sqrt{6752} = \sqrt{16 \times 422} = 4\sqrt{422}
  4. 4

    A calculator, or long division of digits, gives

    6752ā‰ˆ82.170554\sqrt{6752} \approx 82.170554
LaTeX source of the formulas on this page
\[ \sqrt{6752} = 4\sqrt{422} \approx 82.170554 \]
\[ \sqrt{6752} = \sqrt{16 \times 422} = 4\sqrt{422} \]
\[ \sqrt{6752} \approx 82.170554 \]

Squares around 6752

NumberSquared
816561
826724
836889
847056

Questions

What is the square root of 6752?

The square root of 6752 is 82.170554 (rounded to 6 decimal places). In simplest radical form it is 4√422.

Is 6752 a perfect square?

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

What is 6752 squared?

6752 Ɨ 6752 = 45589504.

What is the square root of 6752 rounded to 2 decimals?

82.17.

Nearby numbers

More about 6752

    Square root of 6752: 82.170554 | WordGPT