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Square root of 478

The square root of 478 is 21.863211 (rounded to 6 decimal places). It cannot be simplified.

Square root of 478

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 478 is the number that multiplied by itself gives 478.

  2. 2

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

  3. 3

    478 has no square factor bigger than 1, so the radical stays as it is.

    478\sqrt{478}
  4. 4

    A calculator, or long division of digits, gives

    478≈21.863211\sqrt{478} \approx 21.863211
LaTeX source of the formulas on this page
\[ \sqrt{478} = \sqrt{478} \approx 21.863211 \]
\[ \sqrt{478} \]
\[ \sqrt{478} \approx 21.863211 \]

Squares around 478

NumberSquared
20400
21441
22484
23529

Questions

What is the square root of 478?

The square root of 478 is 21.863211 (rounded to 6 decimal places). It cannot be simplified.

Is 478 a perfect square?

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

What is 478 squared?

478 × 478 = 228484.

What is the square root of 478 rounded to 2 decimals?

21.86.

Nearby numbers

More about 478

    Square root of 478: 21.863211 | WordGPT