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Square root of 1288

The square root of 1288 is 35.888717 (rounded to 6 decimal places). In simplest radical form it is 2√322.

Square root of 1288

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 1288 is the number that multiplied by itself gives 1288.

  2. 2

    1288 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: 1288 = 4 Ɨ 322, so

    1288=4Ɨ322=2322\sqrt{1288} = \sqrt{4 \times 322} = 2\sqrt{322}
  4. 4

    A calculator, or long division of digits, gives

    1288ā‰ˆ35.888717\sqrt{1288} \approx 35.888717
LaTeX source of the formulas on this page
\[ \sqrt{1288} = 2\sqrt{322} \approx 35.888717 \]
\[ \sqrt{1288} = \sqrt{4 \times 322} = 2\sqrt{322} \]
\[ \sqrt{1288} \approx 35.888717 \]

Squares around 1288

NumberSquared
341156
351225
361296
371369

Questions

What is the square root of 1288?

The square root of 1288 is 35.888717 (rounded to 6 decimal places). In simplest radical form it is 2√322.

Is 1288 a perfect square?

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

What is 1288 squared?

1288 Ɨ 1288 = 1658944.

What is the square root of 1288 rounded to 2 decimals?

35.89.

Nearby numbers

More about 1288

    Square root of 1288: 35.888717 | WordGPT