Square root of 425
The square root of 425 is 20.615528 (rounded to 6 decimal places). In simplest radical form it is 5ā17.
Square root of 425
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 425 is the number that multiplied by itself gives 425.
- 2
425 is between the perfect squares 20² = 400 and 21² = 441, so its square root is between 20 and 21.
- 3
Pull out the biggest square factor: 425 = 25 Ć 17, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{425} = 5\sqrt{17} \approx 20.615528 \]
\[ \sqrt{425} = \sqrt{25 \times 17} = 5\sqrt{17} \]
\[ \sqrt{425} \approx 20.615528 \]Squares around 425
| Number | Squared |
|---|---|
| 19 | 361 |
| 20 | 400 |
| 21 | 441 |
| 22 | 484 |
Questions
What is the square root of 425?
The square root of 425 is 20.615528 (rounded to 6 decimal places). In simplest radical form it is 5ā17.
Is 425 a perfect square?
No. It lies between 20² = 400 and 21² = 441.
What is 425 squared?
425 Ć 425 = 180625.
What is the square root of 425 rounded to 2 decimals?
20.62.