Square root of 6972
The square root of 6972 is 83.498503 (rounded to 6 decimal places). In simplest radical form it is 2ā1743.
Square root of 6972
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 6972 is the number that multiplied by itself gives 6972.
- 2
6972 is between the perfect squares 83Ā² = 6889 and 84Ā² = 7056, so its square root is between 83 and 84.
- 3
Pull out the biggest square factor: 6972 = 4 Ć 1743, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{6972} = 2\sqrt{1743} \approx 83.498503 \]
\[ \sqrt{6972} = \sqrt{4 \times 1743} = 2\sqrt{1743} \]
\[ \sqrt{6972} \approx 83.498503 \]Squares around 6972
| Number | Squared |
|---|---|
| 82 | 6724 |
| 83 | 6889 |
| 84 | 7056 |
| 85 | 7225 |
Questions
What is the square root of 6972?
The square root of 6972 is 83.498503 (rounded to 6 decimal places). In simplest radical form it is 2ā1743.
Is 6972 a perfect square?
No. It lies between 83Ā² = 6889 and 84Ā² = 7056.
What is 6972 squared?
6972 Ć 6972 = 48608784.
What is the square root of 6972 rounded to 2 decimals?
83.50.