Square root of 476
The square root of 476 is 21.817424 (rounded to 6 decimal places). In simplest radical form it is 2ā119.
Square root of 476
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 476 is the number that multiplied by itself gives 476.
- 2
476 is between the perfect squares 21² = 441 and 22² = 484, so its square root is between 21 and 22.
- 3
Pull out the biggest square factor: 476 = 4 Ć 119, so
- 4
A calculator, or long division of digits, gives
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
| Number | Squared |
|---|---|
| 20 | 400 |
| 21 | 441 |
| 22 | 484 |
| 23 | 529 |
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 2ā119.
Is 476 a perfect square?
No. It lies between 21² = 441 and 22² = 484.
What is 476 squared?
476 Ć 476 = 226576.
What is the square root of 476 rounded to 2 decimals?
21.82.