Square root of 428
The square root of 428 is 20.688161 (rounded to 6 decimal places). In simplest radical form it is 2ā107.
Square root of 428
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 428 is the number that multiplied by itself gives 428.
- 2
428 is between the perfect squares 20Ā² = 400 and 21Ā² = 441, so its square root is between 20 and 21.
- 3
Pull out the biggest square factor: 428 = 4 Ć 107, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{428} = 2\sqrt{107} \approx 20.688161 \]
\[ \sqrt{428} = \sqrt{4 \times 107} = 2\sqrt{107} \]
\[ \sqrt{428} \approx 20.688161 \]Squares around 428
| Number | Squared |
|---|---|
| 19 | 361 |
| 20 | 400 |
| 21 | 441 |
| 22 | 484 |
Questions
What is the square root of 428?
The square root of 428 is 20.688161 (rounded to 6 decimal places). In simplest radical form it is 2ā107.
Is 428 a perfect square?
No. It lies between 20Ā² = 400 and 21Ā² = 441.
What is 428 squared?
428 Ć 428 = 183184.
What is the square root of 428 rounded to 2 decimals?
20.69.