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Square root of 476

The square root of 476 is 21.817424 (rounded to 6 decimal places). In simplest radical form it is 2√119.

Square root of 476

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 476 is the number that multiplied by itself gives 476.

  2. 2

    476 is between the perfect squares 21² = 441 and 22² = 484, so its square root is between 21 and 22.

  3. 3

    Pull out the biggest square factor: 476 = 4 Ɨ 119, so

    476=4Ɨ119=2119\sqrt{476} = \sqrt{4 \times 119} = 2\sqrt{119}
  4. 4

    A calculator, or long division of digits, gives

    476ā‰ˆ21.817424\sqrt{476} \approx 21.817424
LaTeX source of the formulas on this page
\[ \sqrt{476} = 2\sqrt{119} \approx 21.817424 \]
\[ \sqrt{476} = \sqrt{4 \times 119} = 2\sqrt{119} \]
\[ \sqrt{476} \approx 21.817424 \]

Squares around 476

NumberSquared
20400
21441
22484
23529

Questions

What is the square root of 476?

The square root of 476 is 21.817424 (rounded to 6 decimal places). In simplest radical form it is 2√119.

Is 476 a perfect square?

No. It lies between 21² = 441 and 22² = 484.

What is 476 squared?

476 Ɨ 476 = 226576.

What is the square root of 476 rounded to 2 decimals?

21.82.

Nearby numbers

More about 476

    Square root of 476: 21.817424 | WordGPT