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Square root of 76

The square root of 76 is 8.717798 (rounded to 6 decimal places). In simplest radical form it is 2√19.

Square root of 76

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 76 is the number that multiplied by itself gives 76.

  2. 2

    76 is between the perfect squares 8² = 64 and 9² = 81, so its square root is between 8 and 9.

  3. 3

    Pull out the biggest square factor: 76 = 4 Ɨ 19, so

    76=4Ɨ19=219\sqrt{76} = \sqrt{4 \times 19} = 2\sqrt{19}
  4. 4

    A calculator, or long division of digits, gives

    76ā‰ˆ8.717798\sqrt{76} \approx 8.717798
LaTeX source of the formulas on this page
\[ \sqrt{76} = 2\sqrt{19} \approx 8.717798 \]
\[ \sqrt{76} = \sqrt{4 \times 19} = 2\sqrt{19} \]
\[ \sqrt{76} \approx 8.717798 \]

Squares around 76

NumberSquared
749
864
981
10100

Questions

What is the square root of 76?

The square root of 76 is 8.717798 (rounded to 6 decimal places). In simplest radical form it is 2√19.

Is 76 a perfect square?

No. It lies between 8² = 64 and 9² = 81.

What is 76 squared?

76 Ɨ 76 = 5776.

What is the square root of 76 rounded to 2 decimals?

8.72.

Nearby numbers

More about 76

    Square root of 76: 8.717798 | WordGPT