Square root of 460
The square root of 460 is 21.447611 (rounded to 6 decimal places). In simplest radical form it is 2ā115.
Square root of 460
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 460 is the number that multiplied by itself gives 460.
- 2
460 is between the perfect squares 21Ā² = 441 and 22Ā² = 484, so its square root is between 21 and 22.
- 3
Pull out the biggest square factor: 460 = 4 Ć 115, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{460} = 2\sqrt{115} \approx 21.447611 \]
\[ \sqrt{460} = \sqrt{4 \times 115} = 2\sqrt{115} \]
\[ \sqrt{460} \approx 21.447611 \]Squares around 460
| Number | Squared |
|---|---|
| 20 | 400 |
| 21 | 441 |
| 22 | 484 |
| 23 | 529 |
Questions
What is the square root of 460?
The square root of 460 is 21.447611 (rounded to 6 decimal places). In simplest radical form it is 2ā115.
Is 460 a perfect square?
No. It lies between 21Ā² = 441 and 22Ā² = 484.
What is 460 squared?
460 Ć 460 = 211600.
What is the square root of 460 rounded to 2 decimals?
21.45.