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Square root of 896

The square root of 896 is 29.933259 (rounded to 6 decimal places). In simplest radical form it is 8√14.

Square root of 896

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 896 is the number that multiplied by itself gives 896.

  2. 2

    896 is between the perfect squares 29² = 841 and 30² = 900, so its square root is between 29 and 30.

  3. 3

    Pull out the biggest square factor: 896 = 64 Ɨ 14, so

    896=64Ɨ14=814\sqrt{896} = \sqrt{64 \times 14} = 8\sqrt{14}
  4. 4

    A calculator, or long division of digits, gives

    896ā‰ˆ29.933259\sqrt{896} \approx 29.933259
LaTeX source of the formulas on this page
\[ \sqrt{896} = 8\sqrt{14} \approx 29.933259 \]
\[ \sqrt{896} = \sqrt{64 \times 14} = 8\sqrt{14} \]
\[ \sqrt{896} \approx 29.933259 \]

Squares around 896

NumberSquared
28784
29841
30900
31961

Questions

What is the square root of 896?

The square root of 896 is 29.933259 (rounded to 6 decimal places). In simplest radical form it is 8√14.

Is 896 a perfect square?

No. It lies between 29² = 841 and 30² = 900.

What is 896 squared?

896 Ɨ 896 = 802816.

What is the square root of 896 rounded to 2 decimals?

29.93.

Nearby numbers

More about 896

    Square root of 896: 29.933259 | WordGPT