Square root of 3825
The square root of 3825 is 61.846584 (rounded to 6 decimal places). In simplest radical form it is 15ā17.
Square root of 3825
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 3825 is the number that multiplied by itself gives 3825.
- 2
3825 is between the perfect squares 61Ā² = 3721 and 62Ā² = 3844, so its square root is between 61 and 62.
- 3
Pull out the biggest square factor: 3825 = 225 Ć 17, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{3825} = 15\sqrt{17} \approx 61.846584 \]
\[ \sqrt{3825} = \sqrt{225 \times 17} = 15\sqrt{17} \]
\[ \sqrt{3825} \approx 61.846584 \]Squares around 3825
| Number | Squared |
|---|---|
| 60 | 3600 |
| 61 | 3721 |
| 62 | 3844 |
| 63 | 3969 |
Questions
What is the square root of 3825?
The square root of 3825 is 61.846584 (rounded to 6 decimal places). In simplest radical form it is 15ā17.
Is 3825 a perfect square?
No. It lies between 61Ā² = 3721 and 62Ā² = 3844.
What is 3825 squared?
3825 Ć 3825 = 14630625.
What is the square root of 3825 rounded to 2 decimals?
61.85.