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Square root of 71

The square root of 71 is 8.42615 (rounded to 6 decimal places). It cannot be simplified.

Square root of 71

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 71 is the number that multiplied by itself gives 71.

  2. 2

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

  3. 3

    71 has no square factor bigger than 1, so the radical stays as it is.

    71\sqrt{71}
  4. 4

    A calculator, or long division of digits, gives

    71≈8.42615\sqrt{71} \approx 8.42615
LaTeX source of the formulas on this page
\[ \sqrt{71} = \sqrt{71} \approx 8.42615 \]
\[ \sqrt{71} \]
\[ \sqrt{71} \approx 8.42615 \]

Squares around 71

NumberSquared
749
864
981
10100

Questions

What is the square root of 71?

The square root of 71 is 8.42615 (rounded to 6 decimal places). It cannot be simplified.

Is 71 a perfect square?

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

What is 71 squared?

71 × 71 = 5041.

What is the square root of 71 rounded to 2 decimals?

8.43.

Nearby numbers

More about 71

    Square root of 71: 8.42615 | WordGPT