Square root of 10
The square root of 10 is 3.162278 (rounded to 6 decimal places). It cannot be simplified.
Square root of 10
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 10 is the number that multiplied by itself gives 10.
- 2
10 is between the perfect squares 3² = 9 and 4² = 16, so its square root is between 3 and 4.
- 3
10 has no square factor bigger than 1, so the radical stays as it is.
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{10} = \sqrt{10} \approx 3.162278 \]
\[ \sqrt{10} \]
\[ \sqrt{10} \approx 3.162278 \]Squares around 10
| Number | Squared |
|---|---|
| 2 | 4 |
| 3 | 9 |
| 4 | 16 |
| 5 | 25 |
Questions
What is the square root of 10?
The square root of 10 is 3.162278 (rounded to 6 decimal places). It cannot be simplified.
Is 10 a perfect square?
No. It lies between 3² = 9 and 4² = 16.
What is 10 squared?
10 × 10 = 100.
What is the square root of 10 rounded to 2 decimals?
3.16.