Square root of 3424
The square root of 3424 is 58.514955 (rounded to 6 decimal places). In simplest radical form it is 4ā214.
Square root of 3424
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 3424 is the number that multiplied by itself gives 3424.
- 2
3424 is between the perfect squares 58² = 3364 and 59² = 3481, so its square root is between 58 and 59.
- 3
Pull out the biggest square factor: 3424 = 16 Ć 214, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{3424} = 4\sqrt{214} \approx 58.514955 \]
\[ \sqrt{3424} = \sqrt{16 \times 214} = 4\sqrt{214} \]
\[ \sqrt{3424} \approx 58.514955 \]Squares around 3424
| Number | Squared |
|---|---|
| 57 | 3249 |
| 58 | 3364 |
| 59 | 3481 |
| 60 | 3600 |
Questions
What is the square root of 3424?
The square root of 3424 is 58.514955 (rounded to 6 decimal places). In simplest radical form it is 4ā214.
Is 3424 a perfect square?
No. It lies between 58² = 3364 and 59² = 3481.
What is 3424 squared?
3424 Ć 3424 = 11723776.
What is the square root of 3424 rounded to 2 decimals?
58.51.