Square root of 457
The square root of 457 is 21.377558 (rounded to 6 decimal places). It cannot be simplified.
Square root of 457
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 457 is the number that multiplied by itself gives 457.
- 2
457 is between the perfect squares 21² = 441 and 22² = 484, so its square root is between 21 and 22.
- 3
457 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
\[ \sqrt{457} = \sqrt{457} \approx 21.377558 \]
\[ \sqrt{457} \]
\[ \sqrt{457} \approx 21.377558 \]Squares around 457
| Number | Squared |
|---|---|
| 20 | 400 |
| 21 | 441 |
| 22 | 484 |
| 23 | 529 |
Questions
What is the square root of 457?
The square root of 457 is 21.377558 (rounded to 6 decimal places). It cannot be simplified.
Is 457 a perfect square?
No. It lies between 21² = 441 and 22² = 484.
What is 457 squared?
457 × 457 = 208849.
What is the square root of 457 rounded to 2 decimals?
21.38.