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Square root of 640

The square root of 640 is 25.298221 (rounded to 6 decimal places). In simplest radical form it is 8√10.

Square root of 640

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 640 is the number that multiplied by itself gives 640.

  2. 2

    640 is between the perfect squares 25² = 625 and 26² = 676, so its square root is between 25 and 26.

  3. 3

    Pull out the biggest square factor: 640 = 64 Ɨ 10, so

    640=64Ɨ10=810\sqrt{640} = \sqrt{64 \times 10} = 8\sqrt{10}
  4. 4

    A calculator, or long division of digits, gives

    640ā‰ˆ25.298221\sqrt{640} \approx 25.298221
LaTeX source of the formulas on this page
\[ \sqrt{640} = 8\sqrt{10} \approx 25.298221 \]
\[ \sqrt{640} = \sqrt{64 \times 10} = 8\sqrt{10} \]
\[ \sqrt{640} \approx 25.298221 \]

Squares around 640

NumberSquared
24576
25625
26676
27729

Questions

What is the square root of 640?

The square root of 640 is 25.298221 (rounded to 6 decimal places). In simplest radical form it is 8√10.

Is 640 a perfect square?

No. It lies between 25² = 625 and 26² = 676.

What is 640 squared?

640 Ɨ 640 = 409600.

What is the square root of 640 rounded to 2 decimals?

25.30.

Nearby numbers

More about 640

    Square root of 640: 25.298221 | WordGPT