Square root of 464
The square root of 464 is 21.540659 (rounded to 6 decimal places). In simplest radical form it is 4ā29.
Square root of 464
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 464 is the number that multiplied by itself gives 464.
- 2
464 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: 464 = 16 Ć 29, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{464} = 4\sqrt{29} \approx 21.540659 \]
\[ \sqrt{464} = \sqrt{16 \times 29} = 4\sqrt{29} \]
\[ \sqrt{464} \approx 21.540659 \]Squares around 464
| Number | Squared |
|---|---|
| 20 | 400 |
| 21 | 441 |
| 22 | 484 |
| 23 | 529 |
Questions
What is the square root of 464?
The square root of 464 is 21.540659 (rounded to 6 decimal places). In simplest radical form it is 4ā29.
Is 464 a perfect square?
No. It lies between 21Ā² = 441 and 22Ā² = 484.
What is 464 squared?
464 Ć 464 = 215296.
What is the square root of 464 rounded to 2 decimals?
21.54.