Square root of 468
The square root of 468 is 21.633308 (rounded to 6 decimal places). In simplest radical form it is 6ā13.
Square root of 468
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 468 is the number that multiplied by itself gives 468.
- 2
468 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: 468 = 36 Ć 13, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{468} = 6\sqrt{13} \approx 21.633308 \]
\[ \sqrt{468} = \sqrt{36 \times 13} = 6\sqrt{13} \]
\[ \sqrt{468} \approx 21.633308 \]Squares around 468
| Number | Squared |
|---|---|
| 20 | 400 |
| 21 | 441 |
| 22 | 484 |
| 23 | 529 |
Questions
What is the square root of 468?
The square root of 468 is 21.633308 (rounded to 6 decimal places). In simplest radical form it is 6ā13.
Is 468 a perfect square?
No. It lies between 21Ā² = 441 and 22Ā² = 484.
What is 468 squared?
468 Ć 468 = 219024.
What is the square root of 468 rounded to 2 decimals?
21.63.