Square root of 462
The square root of 462 is 21.494185 (rounded to 6 decimal places). It cannot be simplified.
Square root of 462
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 462 is the number that multiplied by itself gives 462.
- 2
462 is between the perfect squares 21² = 441 and 22² = 484, so its square root is between 21 and 22.
- 3
462 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
\[ \sqrt{462} = \sqrt{462} \approx 21.494185 \]
\[ \sqrt{462} \]
\[ \sqrt{462} \approx 21.494185 \]Squares around 462
| Number | Squared |
|---|---|
| 20 | 400 |
| 21 | 441 |
| 22 | 484 |
| 23 | 529 |
Questions
What is the square root of 462?
The square root of 462 is 21.494185 (rounded to 6 decimal places). It cannot be simplified.
Is 462 a perfect square?
No. It lies between 21² = 441 and 22² = 484.
What is 462 squared?
462 × 462 = 213444.
What is the square root of 462 rounded to 2 decimals?
21.49.