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Square root of 63

The square root of 63 is 7.937254 (rounded to 6 decimal places). In simplest radical form it is 3√7.

Square root of 63

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 63 is the number that multiplied by itself gives 63.

  2. 2

    63 is between the perfect squares 7² = 49 and 8² = 64, so its square root is between 7 and 8.

  3. 3

    Pull out the biggest square factor: 63 = 9 Ɨ 7, so

    63=9Ɨ7=37\sqrt{63} = \sqrt{9 \times 7} = 3\sqrt{7}
  4. 4

    A calculator, or long division of digits, gives

    63ā‰ˆ7.937254\sqrt{63} \approx 7.937254
LaTeX source of the formulas on this page
\[ \sqrt{63} = 3\sqrt{7} \approx 7.937254 \]
\[ \sqrt{63} = \sqrt{9 \times 7} = 3\sqrt{7} \]
\[ \sqrt{63} \approx 7.937254 \]

Squares around 63

NumberSquared
636
749
864
981

Questions

What is the square root of 63?

The square root of 63 is 7.937254 (rounded to 6 decimal places). In simplest radical form it is 3√7.

Is 63 a perfect square?

No. It lies between 7² = 49 and 8² = 64.

What is 63 squared?

63 Ɨ 63 = 3969.

What is the square root of 63 rounded to 2 decimals?

7.94.

Nearby numbers

More about 63

    Square root of 63: 7.937254 | WordGPT