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Square root of 6404

The square root of 6404 is 80.024996 (rounded to 6 decimal places). In simplest radical form it is 2√1601.

Square root of 6404

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 6404 is the number that multiplied by itself gives 6404.

  2. 2

    6404 is between the perfect squares 80² = 6400 and 81² = 6561, so its square root is between 80 and 81.

  3. 3

    Pull out the biggest square factor: 6404 = 4 Ɨ 1601, so

    6404=4Ɨ1601=21601\sqrt{6404} = \sqrt{4 \times 1601} = 2\sqrt{1601}
  4. 4

    A calculator, or long division of digits, gives

    6404ā‰ˆ80.024996\sqrt{6404} \approx 80.024996
LaTeX source of the formulas on this page
\[ \sqrt{6404} = 2\sqrt{1601} \approx 80.024996 \]
\[ \sqrt{6404} = \sqrt{4 \times 1601} = 2\sqrt{1601} \]
\[ \sqrt{6404} \approx 80.024996 \]

Squares around 6404

NumberSquared
796241
806400
816561
826724

Questions

What is the square root of 6404?

The square root of 6404 is 80.024996 (rounded to 6 decimal places). In simplest radical form it is 2√1601.

Is 6404 a perfect square?

No. It lies between 80² = 6400 and 81² = 6561.

What is 6404 squared?

6404 Ɨ 6404 = 41011216.

What is the square root of 6404 rounded to 2 decimals?

80.02.

Nearby numbers

More about 6404

    Square root of 6404: 80.024996 | WordGPT