Square root of 7
The square root of 7 is 2.645751 (rounded to 6 decimal places). It cannot be simplified.
Square root of 7
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 7 is the number that multiplied by itself gives 7.
- 2
7 is between the perfect squares 2² = 4 and 3² = 9, so its square root is between 2 and 3.
- 3
7 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
\[ \sqrt{7} = \sqrt{7} \approx 2.645751 \]
\[ \sqrt{7} \]
\[ \sqrt{7} \approx 2.645751 \]Squares around 7
| Number | Squared |
|---|---|
| 1 | 1 |
| 2 | 4 |
| 3 | 9 |
| 4 | 16 |
Questions
What is the square root of 7?
The square root of 7 is 2.645751 (rounded to 6 decimal places). It cannot be simplified.
Is 7 a perfect square?
No. It lies between 2² = 4 and 3² = 9.
What is 7 squared?
7 × 7 = 49.
What is the square root of 7 rounded to 2 decimals?
2.65.