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Square root of 4008

The square root of 4008 is 63.308767 (rounded to 6 decimal places). In simplest radical form it is 2√1002.

Square root of 4008

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 4008 is the number that multiplied by itself gives 4008.

  2. 2

    4008 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: 4008 = 4 Ɨ 1002, so

    4008=4Ɨ1002=21002\sqrt{4008} = \sqrt{4 \times 1002} = 2\sqrt{1002}
  4. 4

    A calculator, or long division of digits, gives

    4008ā‰ˆ63.308767\sqrt{4008} \approx 63.308767
LaTeX source of the formulas on this page
\[ \sqrt{4008} = 2\sqrt{1002} \approx 63.308767 \]
\[ \sqrt{4008} = \sqrt{4 \times 1002} = 2\sqrt{1002} \]
\[ \sqrt{4008} \approx 63.308767 \]

Squares around 4008

NumberSquared
623844
633969
644096
654225

Questions

What is the square root of 4008?

The square root of 4008 is 63.308767 (rounded to 6 decimal places). In simplest radical form it is 2√1002.

Is 4008 a perfect square?

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

What is 4008 squared?

4008 Ɨ 4008 = 16064064.

What is the square root of 4008 rounded to 2 decimals?

63.31.

Nearby numbers

More about 4008

    Square root of 4008: 63.308767 | WordGPT