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Square root of 3680

The square root of 3680 is 60.663004 (rounded to 6 decimal places). In simplest radical form it is 4√230.

Square root of 3680

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 3680 is the number that multiplied by itself gives 3680.

  2. 2

    3680 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: 3680 = 16 Ɨ 230, so

    3680=16Ɨ230=4230\sqrt{3680} = \sqrt{16 \times 230} = 4\sqrt{230}
  4. 4

    A calculator, or long division of digits, gives

    3680ā‰ˆ60.663004\sqrt{3680} \approx 60.663004
LaTeX source of the formulas on this page
\[ \sqrt{3680} = 4\sqrt{230} \approx 60.663004 \]
\[ \sqrt{3680} = \sqrt{16 \times 230} = 4\sqrt{230} \]
\[ \sqrt{3680} \approx 60.663004 \]

Squares around 3680

NumberSquared
593481
603600
613721
623844

Questions

What is the square root of 3680?

The square root of 3680 is 60.663004 (rounded to 6 decimal places). In simplest radical form it is 4√230.

Is 3680 a perfect square?

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

What is 3680 squared?

3680 Ɨ 3680 = 13542400.

What is the square root of 3680 rounded to 2 decimals?

60.66.

Nearby numbers

More about 3680

    Square root of 3680: 60.663004 | WordGPT