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Square root of 3684

The square root of 3684 is 60.695964 (rounded to 6 decimal places). In simplest radical form it is 2√921.

Square root of 3684

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 3684 is the number that multiplied by itself gives 3684.

  2. 2

    3684 is between the perfect squares 60² = 3600 and 61² = 3721, so its square root is between 60 and 61.

  3. 3

    Pull out the biggest square factor: 3684 = 4 Ɨ 921, so

    3684=4Ɨ921=2921\sqrt{3684} = \sqrt{4 \times 921} = 2\sqrt{921}
  4. 4

    A calculator, or long division of digits, gives

    3684ā‰ˆ60.695964\sqrt{3684} \approx 60.695964
LaTeX source of the formulas on this page
\[ \sqrt{3684} = 2\sqrt{921} \approx 60.695964 \]
\[ \sqrt{3684} = \sqrt{4 \times 921} = 2\sqrt{921} \]
\[ \sqrt{3684} \approx 60.695964 \]

Squares around 3684

NumberSquared
593481
603600
613721
623844

Questions

What is the square root of 3684?

The square root of 3684 is 60.695964 (rounded to 6 decimal places). In simplest radical form it is 2√921.

Is 3684 a perfect square?

No. It lies between 60² = 3600 and 61² = 3721.

What is 3684 squared?

3684 Ɨ 3684 = 13571856.

What is the square root of 3684 rounded to 2 decimals?

60.70.

Nearby numbers

More about 3684

    Square root of 3684: 60.695964 | WordGPT