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Square root of 3664

The square root of 3664 is 60.530984 (rounded to 6 decimal places). In simplest radical form it is 4√229.

Square root of 3664

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 3664 is the number that multiplied by itself gives 3664.

  2. 2

    3664 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: 3664 = 16 Ɨ 229, so

    3664=16Ɨ229=4229\sqrt{3664} = \sqrt{16 \times 229} = 4\sqrt{229}
  4. 4

    A calculator, or long division of digits, gives

    3664ā‰ˆ60.530984\sqrt{3664} \approx 60.530984
LaTeX source of the formulas on this page
\[ \sqrt{3664} = 4\sqrt{229} \approx 60.530984 \]
\[ \sqrt{3664} = \sqrt{16 \times 229} = 4\sqrt{229} \]
\[ \sqrt{3664} \approx 60.530984 \]

Squares around 3664

NumberSquared
593481
603600
613721
623844

Questions

What is the square root of 3664?

The square root of 3664 is 60.530984 (rounded to 6 decimal places). In simplest radical form it is 4√229.

Is 3664 a perfect square?

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

What is 3664 squared?

3664 Ɨ 3664 = 13424896.

What is the square root of 3664 rounded to 2 decimals?

60.53.

Nearby numbers

More about 3664

    Square root of 3664: 60.530984 | WordGPT