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Square root of 1280

The square root of 1280 is 35.777088 (rounded to 6 decimal places). In simplest radical form it is 16√5.

Square root of 1280

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 1280 is the number that multiplied by itself gives 1280.

  2. 2

    1280 is between the perfect squares 35² = 1225 and 36² = 1296, so its square root is between 35 and 36.

  3. 3

    Pull out the biggest square factor: 1280 = 256 Ɨ 5, so

    1280=256Ɨ5=165\sqrt{1280} = \sqrt{256 \times 5} = 16\sqrt{5}
  4. 4

    A calculator, or long division of digits, gives

    1280ā‰ˆ35.777088\sqrt{1280} \approx 35.777088
LaTeX source of the formulas on this page
\[ \sqrt{1280} = 16\sqrt{5} \approx 35.777088 \]
\[ \sqrt{1280} = \sqrt{256 \times 5} = 16\sqrt{5} \]
\[ \sqrt{1280} \approx 35.777088 \]

Squares around 1280

NumberSquared
341156
351225
361296
371369

Questions

What is the square root of 1280?

The square root of 1280 is 35.777088 (rounded to 6 decimal places). In simplest radical form it is 16√5.

Is 1280 a perfect square?

No. It lies between 35² = 1225 and 36² = 1296.

What is 1280 squared?

1280 Ɨ 1280 = 1638400.

What is the square root of 1280 rounded to 2 decimals?

35.78.

Nearby numbers

More about 1280

    Square root of 1280: 35.777088 | WordGPT