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Square root of 800

The square root of 800 is 28.284271 (rounded to 6 decimal places). In simplest radical form it is 20√2.

Square root of 800

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 800 is the number that multiplied by itself gives 800.

  2. 2

    800 is between the perfect squares 28² = 784 and 29² = 841, so its square root is between 28 and 29.

  3. 3

    Pull out the biggest square factor: 800 = 400 Ɨ 2, so

    800=400Ɨ2=202\sqrt{800} = \sqrt{400 \times 2} = 20\sqrt{2}
  4. 4

    A calculator, or long division of digits, gives

    800ā‰ˆ28.284271\sqrt{800} \approx 28.284271
LaTeX source of the formulas on this page
\[ \sqrt{800} = 20\sqrt{2} \approx 28.284271 \]
\[ \sqrt{800} = \sqrt{400 \times 2} = 20\sqrt{2} \]
\[ \sqrt{800} \approx 28.284271 \]

Squares around 800

NumberSquared
27729
28784
29841
30900

Questions

What is the square root of 800?

The square root of 800 is 28.284271 (rounded to 6 decimal places). In simplest radical form it is 20√2.

Is 800 a perfect square?

No. It lies between 28² = 784 and 29² = 841.

What is 800 squared?

800 Ɨ 800 = 640000.

What is the square root of 800 rounded to 2 decimals?

28.28.

Nearby numbers

More about 800

    Square root of 800: 28.284271 | WordGPT