Square root of 7825
The square root of 7825 is 88.45903 (rounded to 6 decimal places). In simplest radical form it is 5ā313.
Square root of 7825
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 7825 is the number that multiplied by itself gives 7825.
- 2
7825 is between the perfect squares 88Ā² = 7744 and 89Ā² = 7921, so its square root is between 88 and 89.
- 3
Pull out the biggest square factor: 7825 = 25 Ć 313, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{7825} = 5\sqrt{313} \approx 88.45903 \]
\[ \sqrt{7825} = \sqrt{25 \times 313} = 5\sqrt{313} \]
\[ \sqrt{7825} \approx 88.45903 \]Squares around 7825
| Number | Squared |
|---|---|
| 87 | 7569 |
| 88 | 7744 |
| 89 | 7921 |
| 90 | 8100 |
Questions
What is the square root of 7825?
The square root of 7825 is 88.45903 (rounded to 6 decimal places). In simplest radical form it is 5ā313.
Is 7825 a perfect square?
No. It lies between 88Ā² = 7744 and 89Ā² = 7921.
What is 7825 squared?
7825 Ć 7825 = 61230625.
What is the square root of 7825 rounded to 2 decimals?
88.46.