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Square root of 960

The square root of 960 is 30.983867 (rounded to 6 decimal places). In simplest radical form it is 8√15.

Square root of 960

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 960 is the number that multiplied by itself gives 960.

  2. 2

    960 is between the perfect squares 30² = 900 and 31² = 961, so its square root is between 30 and 31.

  3. 3

    Pull out the biggest square factor: 960 = 64 Ɨ 15, so

    960=64Ɨ15=815\sqrt{960} = \sqrt{64 \times 15} = 8\sqrt{15}
  4. 4

    A calculator, or long division of digits, gives

    960ā‰ˆ30.983867\sqrt{960} \approx 30.983867
LaTeX source of the formulas on this page
\[ \sqrt{960} = 8\sqrt{15} \approx 30.983867 \]
\[ \sqrt{960} = \sqrt{64 \times 15} = 8\sqrt{15} \]
\[ \sqrt{960} \approx 30.983867 \]

Squares around 960

NumberSquared
29841
30900
31961
321024

Questions

What is the square root of 960?

The square root of 960 is 30.983867 (rounded to 6 decimal places). In simplest radical form it is 8√15.

Is 960 a perfect square?

No. It lies between 30² = 900 and 31² = 961.

What is 960 squared?

960 Ɨ 960 = 921600.

What is the square root of 960 rounded to 2 decimals?

30.98.

Nearby numbers

More about 960

    Square root of 960: 30.983867 | WordGPT