Square root of 424
The square root of 424 is 20.59126 (rounded to 6 decimal places). In simplest radical form it is 2ā106.
Square root of 424
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 424 is the number that multiplied by itself gives 424.
- 2
424 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: 424 = 4 Ć 106, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{424} = 2\sqrt{106} \approx 20.59126 \]
\[ \sqrt{424} = \sqrt{4 \times 106} = 2\sqrt{106} \]
\[ \sqrt{424} \approx 20.59126 \]Squares around 424
| Number | Squared |
|---|---|
| 19 | 361 |
| 20 | 400 |
| 21 | 441 |
| 22 | 484 |
Questions
What is the square root of 424?
The square root of 424 is 20.59126 (rounded to 6 decimal places). In simplest radical form it is 2ā106.
Is 424 a perfect square?
No. It lies between 20Ā² = 400 and 21Ā² = 441.
What is 424 squared?
424 Ć 424 = 179776.
What is the square root of 424 rounded to 2 decimals?
20.59.