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Square root of 28

The square root of 28 is 5.291503 (rounded to 6 decimal places). In simplest radical form it is 2√7.

Square root of 28

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 28 is the number that multiplied by itself gives 28.

  2. 2

    28 is between the perfect squares 5² = 25 and 6² = 36, so its square root is between 5 and 6.

  3. 3

    Pull out the biggest square factor: 28 = 4 Ɨ 7, so

    28=4Ɨ7=27\sqrt{28} = \sqrt{4 \times 7} = 2\sqrt{7}
  4. 4

    A calculator, or long division of digits, gives

    28ā‰ˆ5.291503\sqrt{28} \approx 5.291503
LaTeX source of the formulas on this page
\[ \sqrt{28} = 2\sqrt{7} \approx 5.291503 \]
\[ \sqrt{28} = \sqrt{4 \times 7} = 2\sqrt{7} \]
\[ \sqrt{28} \approx 5.291503 \]

Squares around 28

NumberSquared
416
525
636
749

Questions

What is the square root of 28?

The square root of 28 is 5.291503 (rounded to 6 decimal places). In simplest radical form it is 2√7.

Is 28 a perfect square?

No. It lies between 5² = 25 and 6² = 36.

What is 28 squared?

28 Ɨ 28 = 784.

What is the square root of 28 rounded to 2 decimals?

5.29.

Nearby numbers

More about 28

    Square root of 28: 5.291503 | WordGPT