Square root of 972
The square root of 972 is 31.176915 (rounded to 6 decimal places). In simplest radical form it is 18ā3.
Square root of 972
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 972 is the number that multiplied by itself gives 972.
- 2
972 is between the perfect squares 31Ā² = 961 and 32Ā² = 1024, so its square root is between 31 and 32.
- 3
Pull out the biggest square factor: 972 = 324 Ć 3, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{972} = 18\sqrt{3} \approx 31.176915 \]
\[ \sqrt{972} = \sqrt{324 \times 3} = 18\sqrt{3} \]
\[ \sqrt{972} \approx 31.176915 \]Squares around 972
| Number | Squared |
|---|---|
| 30 | 900 |
| 31 | 961 |
| 32 | 1024 |
| 33 | 1089 |
Questions
What is the square root of 972?
The square root of 972 is 31.176915 (rounded to 6 decimal places). In simplest radical form it is 18ā3.
Is 972 a perfect square?
No. It lies between 31Ā² = 961 and 32Ā² = 1024.
What is 972 squared?
972 Ć 972 = 944784.
What is the square root of 972 rounded to 2 decimals?
31.18.