Square root of 473
The square root of 473 is 21.748563 (rounded to 6 decimal places). It cannot be simplified.
Square root of 473
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 473 is the number that multiplied by itself gives 473.
- 2
473 is between the perfect squares 21² = 441 and 22² = 484, so its square root is between 21 and 22.
- 3
473 has no square factor bigger than 1, so the radical stays as it is.
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{473} = \sqrt{473} \approx 21.748563 \]
\[ \sqrt{473} \]
\[ \sqrt{473} \approx 21.748563 \]Squares around 473
| Number | Squared |
|---|---|
| 20 | 400 |
| 21 | 441 |
| 22 | 484 |
| 23 | 529 |
Questions
What is the square root of 473?
The square root of 473 is 21.748563 (rounded to 6 decimal places). It cannot be simplified.
Is 473 a perfect square?
No. It lies between 21² = 441 and 22² = 484.
What is 473 squared?
473 × 473 = 223729.
What is the square root of 473 rounded to 2 decimals?
21.75.