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Square root of 728

The square root of 728 is 26.981475 (rounded to 6 decimal places). In simplest radical form it is 2√182.

Square root of 728

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 728 is the number that multiplied by itself gives 728.

  2. 2

    728 is between the perfect squares 26² = 676 and 27² = 729, so its square root is between 26 and 27.

  3. 3

    Pull out the biggest square factor: 728 = 4 Ɨ 182, so

    728=4Ɨ182=2182\sqrt{728} = \sqrt{4 \times 182} = 2\sqrt{182}
  4. 4

    A calculator, or long division of digits, gives

    728ā‰ˆ26.981475\sqrt{728} \approx 26.981475
LaTeX source of the formulas on this page
\[ \sqrt{728} = 2\sqrt{182} \approx 26.981475 \]
\[ \sqrt{728} = \sqrt{4 \times 182} = 2\sqrt{182} \]
\[ \sqrt{728} \approx 26.981475 \]

Squares around 728

NumberSquared
25625
26676
27729
28784

Questions

What is the square root of 728?

The square root of 728 is 26.981475 (rounded to 6 decimal places). In simplest radical form it is 2√182.

Is 728 a perfect square?

No. It lies between 26² = 676 and 27² = 729.

What is 728 squared?

728 Ɨ 728 = 529984.

What is the square root of 728 rounded to 2 decimals?

26.98.

Nearby numbers

More about 728

    Square root of 728: 26.981475 | WordGPT