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Square root of 3984

The square root of 3984 is 63.118935 (rounded to 6 decimal places). In simplest radical form it is 4√249.

Square root of 3984

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 3984 is the number that multiplied by itself gives 3984.

  2. 2

    3984 is between the perfect squares 63² = 3969 and 64² = 4096, so its square root is between 63 and 64.

  3. 3

    Pull out the biggest square factor: 3984 = 16 Ɨ 249, so

    3984=16Ɨ249=4249\sqrt{3984} = \sqrt{16 \times 249} = 4\sqrt{249}
  4. 4

    A calculator, or long division of digits, gives

    3984ā‰ˆ63.118935\sqrt{3984} \approx 63.118935
LaTeX source of the formulas on this page
\[ \sqrt{3984} = 4\sqrt{249} \approx 63.118935 \]
\[ \sqrt{3984} = \sqrt{16 \times 249} = 4\sqrt{249} \]
\[ \sqrt{3984} \approx 63.118935 \]

Squares around 3984

NumberSquared
623844
633969
644096
654225

Questions

What is the square root of 3984?

The square root of 3984 is 63.118935 (rounded to 6 decimal places). In simplest radical form it is 4√249.

Is 3984 a perfect square?

No. It lies between 63² = 3969 and 64² = 4096.

What is 3984 squared?

3984 Ɨ 3984 = 15872256.

What is the square root of 3984 rounded to 2 decimals?

63.12.

Nearby numbers

More about 3984

    Square root of 3984: 63.118935 | WordGPT