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Square root of 3328

The square root of 3328 is 57.68882 (rounded to 6 decimal places). In simplest radical form it is 16√13.

Square root of 3328

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 3328 is the number that multiplied by itself gives 3328.

  2. 2

    3328 is between the perfect squares 57² = 3249 and 58² = 3364, so its square root is between 57 and 58.

  3. 3

    Pull out the biggest square factor: 3328 = 256 Ɨ 13, so

    3328=256Ɨ13=1613\sqrt{3328} = \sqrt{256 \times 13} = 16\sqrt{13}
  4. 4

    A calculator, or long division of digits, gives

    3328ā‰ˆ57.68882\sqrt{3328} \approx 57.68882
LaTeX source of the formulas on this page
\[ \sqrt{3328} = 16\sqrt{13} \approx 57.68882 \]
\[ \sqrt{3328} = \sqrt{256 \times 13} = 16\sqrt{13} \]
\[ \sqrt{3328} \approx 57.68882 \]

Squares around 3328

NumberSquared
563136
573249
583364
593481

Questions

What is the square root of 3328?

The square root of 3328 is 57.68882 (rounded to 6 decimal places). In simplest radical form it is 16√13.

Is 3328 a perfect square?

No. It lies between 57² = 3249 and 58² = 3364.

What is 3328 squared?

3328 Ɨ 3328 = 11075584.

What is the square root of 3328 rounded to 2 decimals?

57.69.

Nearby numbers

More about 3328

    Square root of 3328: 57.68882 | WordGPT