Square root of 3808
The square root of 3808 is 61.708994 (rounded to 6 decimal places). In simplest radical form it is 4ā238.
Square root of 3808
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 3808 is the number that multiplied by itself gives 3808.
- 2
3808 is between the perfect squares 61² = 3721 and 62² = 3844, so its square root is between 61 and 62.
- 3
Pull out the biggest square factor: 3808 = 16 Ć 238, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{3808} = 4\sqrt{238} \approx 61.708994 \]
\[ \sqrt{3808} = \sqrt{16 \times 238} = 4\sqrt{238} \]
\[ \sqrt{3808} \approx 61.708994 \]Squares around 3808
| Number | Squared |
|---|---|
| 60 | 3600 |
| 61 | 3721 |
| 62 | 3844 |
| 63 | 3969 |
Questions
What is the square root of 3808?
The square root of 3808 is 61.708994 (rounded to 6 decimal places). In simplest radical form it is 4ā238.
Is 3808 a perfect square?
No. It lies between 61² = 3721 and 62² = 3844.
What is 3808 squared?
3808 Ć 3808 = 14500864.
What is the square root of 3808 rounded to 2 decimals?
61.71.